Atom transfer radical polymerization (ATRP) of styrene catalyzed by cuprous (CuX)/1,10-phenanthroline (Phen) and CuX/CuX2/Phen was conducted in an aqueous dispersed system. A stable latex was obtained by using ionic s...Atom transfer radical polymerization (ATRP) of styrene catalyzed by cuprous (CuX)/1,10-phenanthroline (Phen) and CuX/CuX2/Phen was conducted in an aqueous dispersed system. A stable latex was obtained by using ionic surfactant sodium lauryl sulfonate (SLS) or composite surfactants, such as SLS/polyoxyethylene nonyl phenyl ether (OP-10), SLS/hexadecanol and SLS/OP-10/hexadecanol, Among which SLS and SLS/OP-10/hexadecanol systems established better dispersed effect during the polymerization, It was found that Phen was a more suitable ligand than N,N,N',N',N'-pentamethyldiethylenetriamine (PMDETA) to maintain an appropriate equilibrium of the activator Cu(I) and the deactivator Cu(II) between the organic phase and the water phase, The effect of several initiators (such as EBiB, CCl4 and 1-PEBr) and the temperature on such a kind of ATRP system was also observed. The number-average molar mass (M-n) of polystyrene (PS) increased with the conversion and the molar mass distribution (M-w/M-n) remained narrow. These experimental data show that the polymerization could be controlled except for the quick increase of monomer conversion and the number-average molar mass of PS in the initial stage of polymerization. Furthermore, the initiator efficiency was found to be low (similar to57%) in CuX/Phen catalyzed system. To overcome this problem, Cu(II)X-2 (20 mol%-50 mol% based on CuX) was introduced into the polymerization system. In this case, higher initiator efficiency (60%-90%), low M-w/M-n of PS (as low as 1.08) were achieved and the molar masses of the PS fit with the theoretical ones.展开更多
Existing sequential parameter estimation methods use the acoustic pressure of a line array as observations. The modal dispersion curves are employed to estimate the sound speed profile(SSP) and geoacoustic parameter...Existing sequential parameter estimation methods use the acoustic pressure of a line array as observations. The modal dispersion curves are employed to estimate the sound speed profile(SSP) and geoacoustic parameters based on the ensemble Kalman filter. The warping transform is implemented to the signals received by a single hydrophone to obtain the dispersion curves. The experimental data are collected at a range-independent shallow water site in the South China Sea. The results indicate that the SSPs are well estimated and the geoacoustic parameters are also well determined. Comparisons of the observed and estimated modal dispersion curves show good agreement.展开更多
We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane ...We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane system corresponding to the GMDWW equation. By using the special orbits in the phase portraits, we analyze the existence of the traveling wave solutions. When some parameter takes special values, we obtain abundant exact kink wave solutions, singular wave solutions, periodic wave solutions, periodic singular wave solutions, and solitary wave solutions for the GMDWW equation.展开更多
Three kinds of UV-curable self-emulsified polyurethane-acrylate (PUA) prepolymer, i.e., conventional, chain extended and grafted PUAs, were prepared. The relatively small particle size of the PUA dispersions indicates...Three kinds of UV-curable self-emulsified polyurethane-acrylate (PUA) prepolymer, i.e., conventional, chain extended and grafted PUAs, were prepared. The relatively small particle size of the PUA dispersions indicates that the PUA prepolymers exhibit sufficient aqueous dispersibility. The PUA prepolymers can substantially lower the interfacial tension of water. Chain-extended PUA dispersions exhibit pseudoplastic behavior and thixotropy to a greater extent than do their conventional counterpart. The chain-extended and grafted PUA photocure to higher conversion than do the conventional PU equivalent. The results of DSC measurement suggest that there exists phase mixing between the hard and the soft segment phases for the PUAs based on PEG 400 that is the comparatively short soft segment in the prepolymer. For the PUA prepolymers based on PEG having higher M-n values, chain-extending and grafting could impede the phase separation between the hard and the soft segment domains. The adhesion, impact strength and flexibility of the photocured films were tested.展开更多
A convenient way to prepare water soluble or water dispersible conducting polyaniline was developed by employing protonic acid dopants containing hydrophilic ethyleneoxide oligomer as counter-ion. The conducting pol...A convenient way to prepare water soluble or water dispersible conducting polyaniline was developed by employing protonic acid dopants containing hydrophilic ethyleneoxide oligomer as counter-ion. The conducting polyaniline possesses electrical conductivity in the range of 10^(-3) to 10^(-2)S/cm depending on the chosen dopant, and it displays an excellent electrochemical redox reversibility in non aqueous systems.展开更多
A novel photosensitive copolymer P(SS-co-AA-g-GMA)(PSAG) was synthesized and utilized to noncovalently functionalize pristine single-walled carbon nanotubes(SCNTs). PSAG was highly effective for the solubilizati...A novel photosensitive copolymer P(SS-co-AA-g-GMA)(PSAG) was synthesized and utilized to noncovalently functionalize pristine single-walled carbon nanotubes(SCNTs). PSAG was highly effective for the solubilization of SCNTs in water and validated by UV-vis absorption spectra experiments, resulting in homogeneous and stable PSAG-SCNT aqueous dispersion. The microstructure of SCNTs was observed through Raman spectroscopy and transmission electron microscopy. In addition, compared with the two common polymeric dispersants of Triton X-100 and PSS, PSAG demonstrated more effective performances for dispersing SCNTs under identical conditions. Furthermore, the photosensitive PSAG-SCNTs can be crosslinked after UV irradiation, leading to significant improvement in the water resistance of SCNT films. UV-cured films can be transferred to plastic wrap to form a flexible film with high electrical conductivity.展开更多
Water soluble disperse dyes of either monoazo or anthraquinone types containing the carboxymethylsulfonylgroup(-SO2CH2COOH)were synthesized.Ammonium salts of this type of dyes are more soluble thanother salts.These ...Water soluble disperse dyes of either monoazo or anthraquinone types containing the carboxymethylsulfonylgroup(-SO2CH2COOH)were synthesized.Ammonium salts of this type of dyes are more soluble thanother salts.These dyes are suitable for pad dyeing or printing on polyester fiber and polyester/cottonblends in either weak acid,neutral or weak alkali medium without a dispersing agent.The formation of-SO2CH3 group from -SO2CH2COOH group after fixing on the fiber was proved.展开更多
A consistent tanh expansion (CTE) method is developed for the dispersion water wave (DWW) system. For the CTE solvable DlVVC system, there are two branches related to tanh expansion, the main branch is consistent ...A consistent tanh expansion (CTE) method is developed for the dispersion water wave (DWW) system. For the CTE solvable DlVVC system, there are two branches related to tanh expansion, the main branch is consistent while the auxiliary branch is not consistent. From the consistent branch, we can obtain infinitely many exact significant solutions including the soliton-resonant solutions and soliton-periodic wave interactions. From the inconsistent branch, only one special solution can be found. The CTE related nonlocal symmetries are also proposed. The nonlocai symmetries can be localized to find finite Backlund transformations by prolonging the model to an enlarged one.展开更多
One way to adapt to the trend towards low-energy and to improve the hydraulic performance of the impact sprinkler under a low pressure condition is by means of a fixed water dispersion device.A fixed dispersion device...One way to adapt to the trend towards low-energy and to improve the hydraulic performance of the impact sprinkler under a low pressure condition is by means of a fixed water dispersion device.A fixed dispersion device disperses jet flow from the nozzle continuously.The shape of the tip,impact angle(θ),diameter(D),and depth in the jet flow(d)have significant influence on the hydraulic performance.In this study,the hydraulic performance characteristics of impact sprinkler as affected by the fixed water dispersion device were studied under indoor conditions.Radial water distributions from the sprinkler were obtained by experiments for the fixed water dispersion devices.MATLAB was used to transform the radial data into net data,and the uniformities were simulated in a square layout from 1 to 2 times the range(R).The droplet size distributions from the fixed water dispersion devices were measured by a laser precipitation monitor(LPM).Results showed that the range increased with the increase of pressure,and the sprinkler with type C_(2) produced a rectangular-shaped water distribution pattern,while the range was maintained.A maximum uniformity of 71.56%,75.56%,77.23%,73.32%,78.88%and 86.67%was found for types A1,B1,C1,A2,B2,and C_(2),respectively under a pressure of 200 kPa.The uniformity from the sprinkler using type C_(2) surpassed 80%,while type C1 fell below.Droplet sizes from type C_(2) was best,and the mean droplet diameter decreased with the increase of pressure.Hence,type C_(2) can be selected for further optimization of the design features to improve the hydraulic performance of the impact sprinkler under low pressure conditions.展开更多
The determining equations for the nonclassical symmetry reductions of nonlinear partial differential equations with arbitrary order can be obtained by requiring the compatibility between the original equations and the...The determining equations for the nonclassical symmetry reductions of nonlinear partial differential equations with arbitrary order can be obtained by requiring the compatibility between the original equations and the invariant surface conditions. The (2+1)-dimensional shallow water wave equation, Boussinesq equation, and the dispersive wave equations in shallow water serve as examples i11ustrating how compatibility leads quickly and easily to the determining equations for their nonclassical symmetries.展开更多
[Objective] The paper was to establish a HPLC method for quantitative determination of 80% pymetrozine·nitenpyram WG. [Method] With the mixture of acetonitrile, water and phosphate buffer (volume ratio 10:80...[Objective] The paper was to establish a HPLC method for quantitative determination of 80% pymetrozine·nitenpyram WG. [Method] With the mixture of acetonitrile, water and phosphate buffer (volume ratio 10:80:10) as the mobile phase, pymetrozine and nitenpyram in samples were separated by ODS-2 reversed phase column, and detected by UV detector at 250 nm. In addition, the results were quantified by external standard method. [Result] The linear correlation coefficients of pymetrozine and nitenpyram were 0.9995 and 0.9998; the standard deviations were 0.29 and 0.22; the coefficients of variation were 0.51% and 1.21%; and the average recoveries were 100.7% and 99.1%, respectively. [Conclusion] The method is fast and simple, and can effectively separate pymetrozine and nitenpyram, with high precision and accuracy and good linear relation.展开更多
Conventional quantum dots inherently carry the risk of cytotoxicity. Considering the biomedical limitations, an amino acid and vitamin were utilized to prepare highly luminescent carbon dots. Ascorbic acid and lysine ...Conventional quantum dots inherently carry the risk of cytotoxicity. Considering the biomedical limitations, an amino acid and vitamin were utilized to prepare highly luminescent carbon dots. Ascorbic acid and lysine were used to synthesize water soluble carbon dots which are highly hiocompatible as both reactants and essential nutrients.展开更多
Stabilizing triplet excited states is important for room temperature phosphorescence(RTP)materials to achieve multifunctional applications in humid environment.However,due to the lack of preparation strategies,the rea...Stabilizing triplet excited states is important for room temperature phosphorescence(RTP)materials to achieve multifunctional applications in humid environment.However,due to the lack of preparation strategies,the realization of RTP materials in water still faces challenges.Herein,a new design strategy was presented to achieve RTP in water by confining carbonized polymer dots(CPDs)in amino functional mesoporous silica(MSNs-NH_(2)).The as-prepared MSNs-CPDs aqueous dispersion exhibited blue afterglow,lasting more than 3 s to naked eyes.The triplet excited states were protected from non-radiative deactivation by the double-confinement effect including covalent bonding fixation and mesoporous structure confinement.The MSNs-CPDs inherited the structure of MSNs-NH_(2),so the stability of morphology and properties were superior to CPDs and even most of silica-based CPDs RTP materials.A water-related encryption technique demonstrated the promising application of MSNs-CPDs as smart materials in the field of information security.Besides,the possibility of potential application in ion detection was also explored.展开更多
Porous organic polymers(POPs)have become an emerging class of advanced porous organic materials owing to their structural diversity and tailored functions in solid state and organic media.Creating water-soluble and re...Porous organic polymers(POPs)have become an emerging class of advanced porous organic materials owing to their structural diversity and tailored functions in solid state and organic media.Creating water-soluble and related water-dispersible POPs is still very challenging in the research area of porous organic materials.Their porosity-based functions with diverse topological architectures in aqueous media offer promising platforms in bio-related fields.This review highlights recent progress on water soluble or dispersible POPs for biomedical applications including bioimaging and biosensing,nanocarriers for drug delivery and tumor targeting,phototherapeutics,protein and gene delivery,biomacromolecule encapsulation and discrimination,and anti-microbial activity.展开更多
The complete analytical solution of the Riemann problem for the homo-geneous Dispersive Nonlinear Shallow Water Equations [Antuono, Liapidevskii andBrocchini, Stud. Appl. Math., 122 (2009), pp. 1-28] is presented, for...The complete analytical solution of the Riemann problem for the homo-geneous Dispersive Nonlinear Shallow Water Equations [Antuono, Liapidevskii andBrocchini, Stud. Appl. Math., 122 (2009), pp. 1-28] is presented, for both wet-bed anddry-bed conditions. Moreover, such a set of hyperbolic and dispersive depth-averagedequations shows an interesting resonance phenomenon in the wave pattern of the solu-tion and we define conditions for the occurrence of resonance and present an algorithmto capture it. As an indirect check on the analytical solution we have carried out a de-tailed comparison with the numerical solution of the government equations obtainedfrom a dissipative method that does not make explicit use of the solution of the localRiemann problem.展开更多
文摘Atom transfer radical polymerization (ATRP) of styrene catalyzed by cuprous (CuX)/1,10-phenanthroline (Phen) and CuX/CuX2/Phen was conducted in an aqueous dispersed system. A stable latex was obtained by using ionic surfactant sodium lauryl sulfonate (SLS) or composite surfactants, such as SLS/polyoxyethylene nonyl phenyl ether (OP-10), SLS/hexadecanol and SLS/OP-10/hexadecanol, Among which SLS and SLS/OP-10/hexadecanol systems established better dispersed effect during the polymerization, It was found that Phen was a more suitable ligand than N,N,N',N',N'-pentamethyldiethylenetriamine (PMDETA) to maintain an appropriate equilibrium of the activator Cu(I) and the deactivator Cu(II) between the organic phase and the water phase, The effect of several initiators (such as EBiB, CCl4 and 1-PEBr) and the temperature on such a kind of ATRP system was also observed. The number-average molar mass (M-n) of polystyrene (PS) increased with the conversion and the molar mass distribution (M-w/M-n) remained narrow. These experimental data show that the polymerization could be controlled except for the quick increase of monomer conversion and the number-average molar mass of PS in the initial stage of polymerization. Furthermore, the initiator efficiency was found to be low (similar to57%) in CuX/Phen catalyzed system. To overcome this problem, Cu(II)X-2 (20 mol%-50 mol% based on CuX) was introduced into the polymerization system. In this case, higher initiator efficiency (60%-90%), low M-w/M-n of PS (as low as 1.08) were achieved and the molar masses of the PS fit with the theoretical ones.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11434012,11774374,11404366 and41561144006
文摘Existing sequential parameter estimation methods use the acoustic pressure of a line array as observations. The modal dispersion curves are employed to estimate the sound speed profile(SSP) and geoacoustic parameters based on the ensemble Kalman filter. The warping transform is implemented to the signals received by a single hydrophone to obtain the dispersion curves. The experimental data are collected at a range-independent shallow water site in the South China Sea. The results indicate that the SSPs are well estimated and the geoacoustic parameters are also well determined. Comparisons of the observed and estimated modal dispersion curves show good agreement.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 11361069 and 11775146).
文摘We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane system corresponding to the GMDWW equation. By using the special orbits in the phase portraits, we analyze the existence of the traveling wave solutions. When some parameter takes special values, we obtain abundant exact kink wave solutions, singular wave solutions, periodic wave solutions, periodic singular wave solutions, and solitary wave solutions for the GMDWW equation.
基金Project supported by Guangdong Natural Science Foundation(No. 960019)
文摘Three kinds of UV-curable self-emulsified polyurethane-acrylate (PUA) prepolymer, i.e., conventional, chain extended and grafted PUAs, were prepared. The relatively small particle size of the PUA dispersions indicates that the PUA prepolymers exhibit sufficient aqueous dispersibility. The PUA prepolymers can substantially lower the interfacial tension of water. Chain-extended PUA dispersions exhibit pseudoplastic behavior and thixotropy to a greater extent than do their conventional counterpart. The chain-extended and grafted PUA photocure to higher conversion than do the conventional PU equivalent. The results of DSC measurement suggest that there exists phase mixing between the hard and the soft segment phases for the PUAs based on PEG 400 that is the comparatively short soft segment in the prepolymer. For the PUA prepolymers based on PEG having higher M-n values, chain-extending and grafting could impede the phase separation between the hard and the soft segment domains. The adhesion, impact strength and flexibility of the photocured films were tested.
文摘A convenient way to prepare water soluble or water dispersible conducting polyaniline was developed by employing protonic acid dopants containing hydrophilic ethyleneoxide oligomer as counter-ion. The conducting polyaniline possesses electrical conductivity in the range of 10^(-3) to 10^(-2)S/cm depending on the chosen dopant, and it displays an excellent electrochemical redox reversibility in non aqueous systems.
基金Funded by the National Natural Science Foundation of China(No.51403082)
文摘A novel photosensitive copolymer P(SS-co-AA-g-GMA)(PSAG) was synthesized and utilized to noncovalently functionalize pristine single-walled carbon nanotubes(SCNTs). PSAG was highly effective for the solubilization of SCNTs in water and validated by UV-vis absorption spectra experiments, resulting in homogeneous and stable PSAG-SCNT aqueous dispersion. The microstructure of SCNTs was observed through Raman spectroscopy and transmission electron microscopy. In addition, compared with the two common polymeric dispersants of Triton X-100 and PSS, PSAG demonstrated more effective performances for dispersing SCNTs under identical conditions. Furthermore, the photosensitive PSAG-SCNTs can be crosslinked after UV irradiation, leading to significant improvement in the water resistance of SCNT films. UV-cured films can be transferred to plastic wrap to form a flexible film with high electrical conductivity.
文摘Water soluble disperse dyes of either monoazo or anthraquinone types containing the carboxymethylsulfonylgroup(-SO2CH2COOH)were synthesized.Ammonium salts of this type of dyes are more soluble thanother salts.These dyes are suitable for pad dyeing or printing on polyester fiber and polyester/cottonblends in either weak acid,neutral or weak alkali medium without a dispersing agent.The formation of-SO2CH3 group from -SO2CH2COOH group after fixing on the fiber was proved.
基金Supported by the National Natural Science Foundations of China under Grant Nos.11175092,11275123,11205092,and 10905038Talent FundK.C.Wong Magna Fund in Ningbo University
文摘A consistent tanh expansion (CTE) method is developed for the dispersion water wave (DWW) system. For the CTE solvable DlVVC system, there are two branches related to tanh expansion, the main branch is consistent while the auxiliary branch is not consistent. From the consistent branch, we can obtain infinitely many exact significant solutions including the soliton-resonant solutions and soliton-periodic wave interactions. From the inconsistent branch, only one special solution can be found. The CTE related nonlocal symmetries are also proposed. The nonlocai symmetries can be localized to find finite Backlund transformations by prolonging the model to an enlarged one.
基金This work was supported by the National Natural Science Foundation of China(51679109)the Natural Science Foundation of Jiangsu Province(BK20170555)+2 种基金the Natural Foundation of the Higher Education Institutions of Jiangsu Province(17KJB470001)Special Scientific Research Fund of Agriculture Public Welfare Profession of China(201503130)Jiangsu Scientific Research and Innovation Program for Graduates in the Universities(KYLX15_1062).
文摘One way to adapt to the trend towards low-energy and to improve the hydraulic performance of the impact sprinkler under a low pressure condition is by means of a fixed water dispersion device.A fixed dispersion device disperses jet flow from the nozzle continuously.The shape of the tip,impact angle(θ),diameter(D),and depth in the jet flow(d)have significant influence on the hydraulic performance.In this study,the hydraulic performance characteristics of impact sprinkler as affected by the fixed water dispersion device were studied under indoor conditions.Radial water distributions from the sprinkler were obtained by experiments for the fixed water dispersion devices.MATLAB was used to transform the radial data into net data,and the uniformities were simulated in a square layout from 1 to 2 times the range(R).The droplet size distributions from the fixed water dispersion devices were measured by a laser precipitation monitor(LPM).Results showed that the range increased with the increase of pressure,and the sprinkler with type C_(2) produced a rectangular-shaped water distribution pattern,while the range was maintained.A maximum uniformity of 71.56%,75.56%,77.23%,73.32%,78.88%and 86.67%was found for types A1,B1,C1,A2,B2,and C_(2),respectively under a pressure of 200 kPa.The uniformity from the sprinkler using type C_(2) surpassed 80%,while type C1 fell below.Droplet sizes from type C_(2) was best,and the mean droplet diameter decreased with the increase of pressure.Hence,type C_(2) can be selected for further optimization of the design features to improve the hydraulic performance of the impact sprinkler under low pressure conditions.
文摘The determining equations for the nonclassical symmetry reductions of nonlinear partial differential equations with arbitrary order can be obtained by requiring the compatibility between the original equations and the invariant surface conditions. The (2+1)-dimensional shallow water wave equation, Boussinesq equation, and the dispersive wave equations in shallow water serve as examples i11ustrating how compatibility leads quickly and easily to the determining equations for their nonclassical symmetries.
文摘[Objective] The paper was to establish a HPLC method for quantitative determination of 80% pymetrozine·nitenpyram WG. [Method] With the mixture of acetonitrile, water and phosphate buffer (volume ratio 10:80:10) as the mobile phase, pymetrozine and nitenpyram in samples were separated by ODS-2 reversed phase column, and detected by UV detector at 250 nm. In addition, the results were quantified by external standard method. [Result] The linear correlation coefficients of pymetrozine and nitenpyram were 0.9995 and 0.9998; the standard deviations were 0.29 and 0.22; the coefficients of variation were 0.51% and 1.21%; and the average recoveries were 100.7% and 99.1%, respectively. [Conclusion] The method is fast and simple, and can effectively separate pymetrozine and nitenpyram, with high precision and accuracy and good linear relation.
基金Supported by the National Natural Science Foundation of China(No.20973079) and the Graduate Innovation Fund of Jilin University, China(No.20121051).
文摘Conventional quantum dots inherently carry the risk of cytotoxicity. Considering the biomedical limitations, an amino acid and vitamin were utilized to prepare highly luminescent carbon dots. Ascorbic acid and lysine were used to synthesize water soluble carbon dots which are highly hiocompatible as both reactants and essential nutrients.
基金financially supported by the National Natural Science Foundation of China (NSFC, No. 22035001)
文摘Stabilizing triplet excited states is important for room temperature phosphorescence(RTP)materials to achieve multifunctional applications in humid environment.However,due to the lack of preparation strategies,the realization of RTP materials in water still faces challenges.Herein,a new design strategy was presented to achieve RTP in water by confining carbonized polymer dots(CPDs)in amino functional mesoporous silica(MSNs-NH_(2)).The as-prepared MSNs-CPDs aqueous dispersion exhibited blue afterglow,lasting more than 3 s to naked eyes.The triplet excited states were protected from non-radiative deactivation by the double-confinement effect including covalent bonding fixation and mesoporous structure confinement.The MSNs-CPDs inherited the structure of MSNs-NH_(2),so the stability of morphology and properties were superior to CPDs and even most of silica-based CPDs RTP materials.A water-related encryption technique demonstrated the promising application of MSNs-CPDs as smart materials in the field of information security.Besides,the possibility of potential application in ion detection was also explored.
基金National Natural Science Foundation of China,Grant/Award Numbers:21890730,21890732,21921003。
文摘Porous organic polymers(POPs)have become an emerging class of advanced porous organic materials owing to their structural diversity and tailored functions in solid state and organic media.Creating water-soluble and related water-dispersible POPs is still very challenging in the research area of porous organic materials.Their porosity-based functions with diverse topological architectures in aqueous media offer promising platforms in bio-related fields.This review highlights recent progress on water soluble or dispersible POPs for biomedical applications including bioimaging and biosensing,nanocarriers for drug delivery and tumor targeting,phototherapeutics,protein and gene delivery,biomacromolecule encapsulation and discrimination,and anti-microbial activity.
基金The authors acknowledge the partial financial support received by the E.U.through the INTAS Project 06-1000013-9236 and by the“Ministero Infrastrutture e Trasporti”within the“Programma di Ricerca 2007-2009”.Acknowledgments are also due to Prof.Maurizio Brocchini for his useful comments and suggestions.
文摘The complete analytical solution of the Riemann problem for the homo-geneous Dispersive Nonlinear Shallow Water Equations [Antuono, Liapidevskii andBrocchini, Stud. Appl. Math., 122 (2009), pp. 1-28] is presented, for both wet-bed anddry-bed conditions. Moreover, such a set of hyperbolic and dispersive depth-averagedequations shows an interesting resonance phenomenon in the wave pattern of the solu-tion and we define conditions for the occurrence of resonance and present an algorithmto capture it. As an indirect check on the analytical solution we have carried out a de-tailed comparison with the numerical solution of the government equations obtainedfrom a dissipative method that does not make explicit use of the solution of the localRiemann problem.