This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotrop...This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic Sobolev spaces an existence result is proved.展开更多
In this paper the following nonlinear degenerate parabolic systemsu t=Δ x( grad φ(u))+α·Δb(u)+f(x,t,u)with Dirichlet boundary conditions are discussed, where u, grad φ(u),b and f are vector value...In this paper the following nonlinear degenerate parabolic systemsu t=Δ x( grad φ(u))+α·Δb(u)+f(x,t,u)with Dirichlet boundary conditions are discussed, where u, grad φ(u),b and f are vector valued functions and x∈Ω R N. Under some structure conditions on the terms of the systems, the results on existence and uniqueness of global solutions of the systems are established.展开更多
A interior point scaling projected reduced Hessian method with combination of nonmonotonic backtracking technique and trust region strategy for nonlinear equality constrained optimization with nonegative constraint on...A interior point scaling projected reduced Hessian method with combination of nonmonotonic backtracking technique and trust region strategy for nonlinear equality constrained optimization with nonegative constraint on variables is proposed. In order to deal with large problems, a pair of trust region subproblems in horizontal and vertical subspaces is used to replace the general full trust region subproblem. The horizontal trust region subproblem in the algorithm is only a general trust region subproblem while the vertical trust region subproblem is defined by a parameter size of the vertical direction subject only to an ellipsoidal constraint. Both trust region strategy and line search technique at each iteration switch to obtaining a backtracking step generated by the two trust region subproblems. By adopting the l 1 penalty function as the merit function, the global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions. A nonmonotonic criterion and the second order correction step are used to overcome Maratos effect and speed up the convergence progress in some ill-conditioned cases. MR Subject Classification 90C30 - 65K05 - 49M40 Keywords trust region method - backtracking step - reduced Hessian - nonmonotonic technique - interior point Supported partially by the National Natural Science Foundation of China (10071050), Science Foundation (02ZA14070) of Shanghai Technical Sciences Committee and Science Foundation (02DK06) of Shanghai Education Committee.展开更多
We present a conceptual configuration of a high-temperature superconducting（HTS）magnet made from REBCO（Re=Rare Earth,B=Barium,C=Copper,O=Oxide）annular plates,called a Bitter-like HTS magnet,which can operate in pe...We present a conceptual configuration of a high-temperature superconducting（HTS）magnet made from REBCO（Re=Rare Earth,B=Barium,C=Copper,O=Oxide）annular plates,called a Bitter-like HTS magnet,which can operate in persistent current mode without joint resistance and can be excited by a flux pump and without current leads and a persistent power supply.An REBCO annular magnet which can generate 1.5 T corresponding to the operating current density 80%of critical current density of the magnet at an operating temperature of65 K is conceptually designed.Then the thermal stability of the magnet is numerically simulated by Comsol software.Whein a piece of RBCO annular plate quenches,the maximum released energy is its stored energy because each REBCO annular plate in the Bitter-like magnet is in parallel.To calculate the stored energy in the REBCO annular plate,the inductance of every annular plate,including self-inductance and mutual inductance,is calculated.Compared with the minimum quench energy（MQE）and stored energy in one REBCO annular plate,the stored energy in one REBCO annular plate is always smaller than the MQE,and the REBCO annular plate will not be damaged even though the stored energy in the REBCO annular plate is fully released,which indicates that this 1.5 T Bitter-like magnet has the property of self-protection.展开更多
Objective： To observe the effect of hydroxysafflor yellow A （HSYA）, an active ingredient of a traditional Chinese herbal medicine Carthamus tinctorius L., on lung inflammation and pulmonary fibrosis induced by bleo...Objective： To observe the effect of hydroxysafflor yellow A （HSYA）, an active ingredient of a traditional Chinese herbal medicine Carthamus tinctorius L., on lung inflammation and pulmonary fibrosis induced by bleomycin （BLM） in rats. Methods： Animals were divided into 6 groups including normal group, model group, three HSYA groups and dexamethasone （DXM） group. Three doses of HSYA （35.6, 53.3, and 80.0 mg？kg–1？day–1） were intraperitoneally （i.p.） injected in rats for 3 weeks after BLM administration and DXM was used as the positive control （n=8 or 12）. Arterial blood gas was assayed and morphological changes were observed. Lung mRNA expressions of tumor necrosis factor （TNF）-α, interleukin （IL）-1β, IL-6 and some cytokines in lung tissue were detected by real-time polymerase chain reaction. Nuclear factor-κB p65 or α-smooth muscle actin （α-SMA） protein distribution in rat lung tissue was observed by immunohistochemistry. Results： On the 7th day after BLM administration, lung tissue showed serious inflammation. Treatment with HSYA or DXM ameliorated lung inflammation. After treatment with HSYA or DXM, oxygen partial pressure （PaO2） increased （HSYA 80.0 mg？kg–1, P〈0.01） and CO2 partial pressure （PaCO2） decreased （HSYA 53.3, 80.0 mg？kg–1, P〈0.05）. Moreover, the mRNA expression of TNF-α, IL-1β, and IL-6; and the number of NF-κB p65 positive cells was lower in HSYA 53.3 and 80.0 mg？kg–1 groups than those in the model group （all P〈0.05）. Twenty-one days after BLM administration, HSYA or DXM treatment ameliorated fibrosis, increased PaO2 （HSYA 53.3, 80.0 mg？kg–1, P〈0.01）, and decreased PaCO2 （53.3 and 80.0 mg？kg–1, P〈0.05）. Further, the mRNA expression of TGF-β1, α-SMA, and collagen Ⅰ as well as the number of α-SMA positive cells increased in the model group and HSYA can attenuate these changes （53.3, 80.0 mg？kg–1, P〈0.05）. Hematoxylin and eosin and Masson＇s trichrome staining indicated that the fibrosis and collagen deposition were ameliorated in HSYA groups （53.3, 80.0 mg？kg–1, P〈0.05）. Conclusion： HSYA could alleviate acute lung inflammation and chronic pulmonary fibrosis induced by BLM in rats.展开更多
基金The project is supported by NNSF of China (10371116)
文摘This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic Sobolev spaces an existence result is proved.
文摘In this paper the following nonlinear degenerate parabolic systemsu t=Δ x( grad φ(u))+α·Δb(u)+f(x,t,u)with Dirichlet boundary conditions are discussed, where u, grad φ(u),b and f are vector valued functions and x∈Ω R N. Under some structure conditions on the terms of the systems, the results on existence and uniqueness of global solutions of the systems are established.
基金Supported partially by the National Natural Science Foundation of China( 1 0 0 71 0 5 0 ) ScienceFoundation ( 0 2 ZA1 4 0 70 ) of Shanghai Technical Sciences Committee and Science Foundation ( 0 2 DK0 6) ofShanghai Education Committee.
文摘A interior point scaling projected reduced Hessian method with combination of nonmonotonic backtracking technique and trust region strategy for nonlinear equality constrained optimization with nonegative constraint on variables is proposed. In order to deal with large problems, a pair of trust region subproblems in horizontal and vertical subspaces is used to replace the general full trust region subproblem. The horizontal trust region subproblem in the algorithm is only a general trust region subproblem while the vertical trust region subproblem is defined by a parameter size of the vertical direction subject only to an ellipsoidal constraint. Both trust region strategy and line search technique at each iteration switch to obtaining a backtracking step generated by the two trust region subproblems. By adopting the l 1 penalty function as the merit function, the global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions. A nonmonotonic criterion and the second order correction step are used to overcome Maratos effect and speed up the convergence progress in some ill-conditioned cases. MR Subject Classification 90C30 - 65K05 - 49M40 Keywords trust region method - backtracking step - reduced Hessian - nonmonotonic technique - interior point Supported partially by the National Natural Science Foundation of China (10071050), Science Foundation (02ZA14070) of Shanghai Technical Sciences Committee and Science Foundation (02DK06) of Shanghai Education Committee.
基金Supported by the Fundamental Research Funds for the Central Universities under Grant No 2018MS004
文摘We present a conceptual configuration of a high-temperature superconducting（HTS）magnet made from REBCO（Re=Rare Earth,B=Barium,C=Copper,O=Oxide）annular plates,called a Bitter-like HTS magnet,which can operate in persistent current mode without joint resistance and can be excited by a flux pump and without current leads and a persistent power supply.An REBCO annular magnet which can generate 1.5 T corresponding to the operating current density 80%of critical current density of the magnet at an operating temperature of65 K is conceptually designed.Then the thermal stability of the magnet is numerically simulated by Comsol software.Whein a piece of RBCO annular plate quenches,the maximum released energy is its stored energy because each REBCO annular plate in the Bitter-like magnet is in parallel.To calculate the stored energy in the REBCO annular plate,the inductance of every annular plate,including self-inductance and mutual inductance,is calculated.Compared with the minimum quench energy（MQE）and stored energy in one REBCO annular plate,the stored energy in one REBCO annular plate is always smaller than the MQE,and the REBCO annular plate will not be damaged even though the stored energy in the REBCO annular plate is fully released,which indicates that this 1.5 T Bitter-like magnet has the property of self-protection.
基金Supported by Traditional Chinese Medicine Development Foundation of Beijing(No.JJ-2009-22)Natural Science Foundation of Beijing(No.7132047)
文摘Objective： To observe the effect of hydroxysafflor yellow A （HSYA）, an active ingredient of a traditional Chinese herbal medicine Carthamus tinctorius L., on lung inflammation and pulmonary fibrosis induced by bleomycin （BLM） in rats. Methods： Animals were divided into 6 groups including normal group, model group, three HSYA groups and dexamethasone （DXM） group. Three doses of HSYA （35.6, 53.3, and 80.0 mg？kg–1？day–1） were intraperitoneally （i.p.） injected in rats for 3 weeks after BLM administration and DXM was used as the positive control （n=8 or 12）. Arterial blood gas was assayed and morphological changes were observed. Lung mRNA expressions of tumor necrosis factor （TNF）-α, interleukin （IL）-1β, IL-6 and some cytokines in lung tissue were detected by real-time polymerase chain reaction. Nuclear factor-κB p65 or α-smooth muscle actin （α-SMA） protein distribution in rat lung tissue was observed by immunohistochemistry. Results： On the 7th day after BLM administration, lung tissue showed serious inflammation. Treatment with HSYA or DXM ameliorated lung inflammation. After treatment with HSYA or DXM, oxygen partial pressure （PaO2） increased （HSYA 80.0 mg？kg–1, P〈0.01） and CO2 partial pressure （PaCO2） decreased （HSYA 53.3, 80.0 mg？kg–1, P〈0.05）. Moreover, the mRNA expression of TNF-α, IL-1β, and IL-6; and the number of NF-κB p65 positive cells was lower in HSYA 53.3 and 80.0 mg？kg–1 groups than those in the model group （all P〈0.05）. Twenty-one days after BLM administration, HSYA or DXM treatment ameliorated fibrosis, increased PaO2 （HSYA 53.3, 80.0 mg？kg–1, P〈0.01）, and decreased PaCO2 （53.3 and 80.0 mg？kg–1, P〈0.05）. Further, the mRNA expression of TGF-β1, α-SMA, and collagen Ⅰ as well as the number of α-SMA positive cells increased in the model group and HSYA can attenuate these changes （53.3, 80.0 mg？kg–1, P〈0.05）. Hematoxylin and eosin and Masson＇s trichrome staining indicated that the fibrosis and collagen deposition were ameliorated in HSYA groups （53.3, 80.0 mg？kg–1, P〈0.05）. Conclusion： HSYA could alleviate acute lung inflammation and chronic pulmonary fibrosis induced by BLM in rats.
