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《Journal of Tianjin Normal University(Natural Science Edition)》 2014-01
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Classical solution of initial-boundary value problem for Euler equations with damping

XIONG Xianping;ZHU Xusheng;Department of Mathematics,Xingyi Normal University for Nationalities;School of Basic Science,East China Jiaotong University;  
The global existence and uniqueness of the classical solution for Dirichlet initial-boundary value problem for one-dimensional isentropic Euler equations with nonlinear damping is studied. On condition that the local solution for the initial-boundary value problem is existed, it is obtained that with perturbation of the initial value, the nonlinear damping does not influence the existence of the solution, the classical solution is still existed and unique,by using energy estimates.
【Fund】: 国家自然科学基金资助项目(11161021)
【CateGory Index】: O175.8
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 ZHU Xusheng1,XIONG Xianping2,TU Aihua1(1.School of Basic Science,East China Jiaotong University,Nanchang 330013,Jiangxi,China; 2.Department of Mathematics,Xingyi Normal University for Nationalities,Xingyi 562400,Guizhou,China);The Global Solutions of the Isentropic Euler Equations with Nonlinear Damping[J];Journal of Wuhan University(Natural Science Edition);2011-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Lin Zhengguo(East China Institute of Chemical Technology);The Cauchy problem for quasilinear hyperbolic system with large paramaters and it's application[J];Chinese Journal of Engineering Mathematics;1986-02
2 Lin Zhengguo;The Cauchy problem for Magneto-Fluid Dynamice with Large prrameters[J];Chinese Journal of Engineering Mathematics;1988-03
3 ZHU Xu-sheng1,XIONG Xian-ping1,FU Yong2(1.School of Basic Sciences,East China Jiaotong University,Nanchang 330013,China;2.School of Mathematics and Compute Science,Yichun university,Yichun 336000,China);Blowup of Solutions to the One-dimension Compressible Euler Equations[J];Journal of East China Jiaotong University;2009-02
4 Yu Yinjing,Zhu Xusheng,Li Cui(School of Basic Sciences,East China Jiaotong University,Nanchang 330013,China);Spherically Symmetric Solutions to the 3D Euler Equations with Damping[J];Journal of East China Jiaotong University;2010-03
5 Lin Zhengguo (Department of Mathematics);The C~∞ solution for the gulf tide equations[J];;1986-06
6 Lin Zhengguo Department of Mathematics;On the initial boundary value problem for quasilinear symmetric hyperbolic system with nonlinear boundary conditions[J];;1987-02
7 Mei Ming Xiao Yingkun Cao Dcfen ( Section of Math, East China Geological Institutet, Fuzhou, 344000 PRC );SMOOTH SOLUTIONS OF INITIAL VALUE PROBLEMS FOR BOLTZMANN EQUATIONS[J];Jiangxi Science;1993-04
8 XIONG Xian-ping 1,ZHU Xu-sheng 2(1.Xingyi Normal University for Nationalites,Xingyi,Guizhou 562400,China;2.School of Basic Science,East China Jiaotong University,Nanchang,Jiangxi 330013,China);Blowup of the classical solutions to the euler equations with nonlinear damping[J];Journal of Guizhou Normal University(Natural Sciences);2011-03
9 ZHU XUSHENG WANG WEIKE School of Basic Sciences, East China Jiaotong University, Nanchang 330013, China; School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China.;THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING[J];数学年刊B辑(英文版);2005-04
10 Chunjin LIN 1 Thierry GOUDON 2 1 Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, China. 2 Project-Team SIMPAF, INRIA Lille Nord Europe Research Centre, Park Plazza, 40 Avenue Halley, F-59650 Villeneuve d’Ascq Cedex, France.;Global Existence of the Equilibrium Diffusion Model in Radiative Hydrodynamics[J];数学年刊B辑(英文版);2011-04
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