In this paper,we study the Radon measure initial value problem for the nonisentropic improved Aw-Rascle-Zhang model.For arbitrary convex F(u)in this model we construct the Riemann solutions by elementary waves andδ-s...In this paper,we study the Radon measure initial value problem for the nonisentropic improved Aw-Rascle-Zhang model.For arbitrary convex F(u)in this model we construct the Riemann solutions by elementary waves andδ-shock waves using the method of generalized characteristic analysis.We obtain the solutions constructively for initial data containing the Dirac measure by taking the limit of the solutions for that with three piecewise constants.Moreover,we analyze different kinds of wave interactions,including the interactions of theδ-shock waves with elementary waves.展开更多
In this article,by the mean-integral of the conserved quantity,we prove that the one-dimensional non-isentropic gas dynamic equations in an ideal gas state do not possess a bounded invariant region.Moreover,we obtain ...In this article,by the mean-integral of the conserved quantity,we prove that the one-dimensional non-isentropic gas dynamic equations in an ideal gas state do not possess a bounded invariant region.Moreover,we obtain a necessary condition on the state equations for the existence of an invariant region for a non-isentropic process.Finally,we provide a mat hematical example showing that with a special state equation,a bounded invariant region for the non-isentropic process may exist.展开更多
In this article, we investigate three-dimensional solution with helical symmetry in a gap between two concentric rotating cylinders, inside is a helicoidal surface（screw propeller）while outside is a cylindrical surf...In this article, we investigate three-dimensional solution with helical symmetry in a gap between two concentric rotating cylinders, inside is a helicoidal surface（screw propeller）while outside is a cylindrical surface. Establish the partial differential equations and its variational formulation satisfied by a helical solution in a helical coordinate system using tensor analysis method, we provide a computational method for the power and propulsion of the screw. The existence and uniqueness of weak helical solutions are proved.展开更多
An unexpected in-situ hydrolysis reaction occurred during the solvothermal reaction of N,N’-bis(4-carboxy-2-methylphenyl)pyromellitic di-imide)and Ba(NO3)2,and a novel porous Ba-MOF,[H_(2)N(CH_(3))_(2)]_(0.5)[Ba_(1.5...An unexpected in-situ hydrolysis reaction occurred during the solvothermal reaction of N,N’-bis(4-carboxy-2-methylphenyl)pyromellitic di-imide)and Ba(NO3)2,and a novel porous Ba-MOF,[H_(2)N(CH_(3))_(2)]_(0.5)[Ba_(1.5)(L)(DMA)]·1.5 DMA·1.5 H_(2)O(UPC-70,H_(3)L=2-(4-ca rboxy-2-methylphenyl)-1,3-dioxoisoindoline-5,6-dicarboxylic acid,DMA=N,N-dimethylacetamide),was obtained on the basis of the partial hydrolysate.The as-synthesized 3 D network with 1 D open channels of different sizes(24 A and 10 A)contains abundant open metal sites after removal of solvents,which is conducive to the preferential adsorption of CO_(2).The subsequent gas sorption measurement reveals the high separation selectivity of UPC-70 for CO_(2)/CH_(4)(15)and CO_(2)/N_(2)(32)at ambient conditions,and GCMC theoretical simulation provides good verification of the experimental results,indicating that UPC-70 is a potential candidate for CO_(2)capture from flue gas and natural gas.展开更多
基金supported by the Natural Science Foundation of Zhejiang(LQ18A010004)Matematical Analysis,The First class courses in Zhejiang Province(210052)+1 种基金the Fundamental Research Funds for the Provincial Universities of Zhejiang(210039)supported by the National Natural Science Foundation of China(11771442)。
文摘In this paper,we study the Radon measure initial value problem for the nonisentropic improved Aw-Rascle-Zhang model.For arbitrary convex F(u)in this model we construct the Riemann solutions by elementary waves andδ-shock waves using the method of generalized characteristic analysis.We obtain the solutions constructively for initial data containing the Dirac measure by taking the limit of the solutions for that with three piecewise constants.Moreover,we analyze different kinds of wave interactions,including the interactions of theδ-shock waves with elementary waves.
基金supported by the Natural Science Foundation of Zhejiang(LQ18A010004)the second author was supported by the Fundamental Research Funds for the Central Universities(WUT:2020IB011).
文摘In this article,by the mean-integral of the conserved quantity,we prove that the one-dimensional non-isentropic gas dynamic equations in an ideal gas state do not possess a bounded invariant region.Moreover,we obtain a necessary condition on the state equations for the existence of an invariant region for a non-isentropic process.Finally,we provide a mat hematical example showing that with a special state equation,a bounded invariant region for the non-isentropic process may exist.
基金supported by NSFC(91330116)NSFC(11371289)+1 种基金NSFC(11371288)State Major Basic Research and Development Project(2011CB 706505)
文摘In this article, we investigate three-dimensional solution with helical symmetry in a gap between two concentric rotating cylinders, inside is a helicoidal surface（screw propeller）while outside is a cylindrical surface. Establish the partial differential equations and its variational formulation satisfied by a helical solution in a helical coordinate system using tensor analysis method, we provide a computational method for the power and propulsion of the screw. The existence and uniqueness of weak helical solutions are proved.
基金supported by the National Natural Science Foundation of China(NSFC,No.21771191)the Fundamental Research Funds for the Central Universities(No.19CX05001A)。
文摘An unexpected in-situ hydrolysis reaction occurred during the solvothermal reaction of N,N’-bis(4-carboxy-2-methylphenyl)pyromellitic di-imide)and Ba(NO3)2,and a novel porous Ba-MOF,[H_(2)N(CH_(3))_(2)]_(0.5)[Ba_(1.5)(L)(DMA)]·1.5 DMA·1.5 H_(2)O(UPC-70,H_(3)L=2-(4-ca rboxy-2-methylphenyl)-1,3-dioxoisoindoline-5,6-dicarboxylic acid,DMA=N,N-dimethylacetamide),was obtained on the basis of the partial hydrolysate.The as-synthesized 3 D network with 1 D open channels of different sizes(24 A and 10 A)contains abundant open metal sites after removal of solvents,which is conducive to the preferential adsorption of CO_(2).The subsequent gas sorption measurement reveals the high separation selectivity of UPC-70 for CO_(2)/CH_(4)(15)and CO_(2)/N_(2)(32)at ambient conditions,and GCMC theoretical simulation provides good verification of the experimental results,indicating that UPC-70 is a potential candidate for CO_(2)capture from flue gas and natural gas.
