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《Journal of Jinan University(Natural Science & Medicine Edition)》 2009-01
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L~1-convergence rate of relaxation approximations to conservation laws with boundary

LI Xiao-meng1,CUI Hui-ping2,LIU Hong-xia1(1.Department of Mathematics,Jinan University,Guangzhou 510632,China;2.Guangdong Pharmaceutical University;Guangzhou 510006,China)  
L1-convergence rate of solutions to a stiff relaxation system with initial-boundary value condition to its equilibrium solutions is studied.Assume that the boundary data is a nontransonic state and initial data is a small perturbation,by using matching method and the traveling wave solutions,the error between the relaxation approximations and its equilibrium solution is estimated to be bounded by O(εlnε+ε) in L1-norm,if the equilibrium solutions are piecewise smooth with finitely many discontinuities for the initial-boundary value problem of the stiff relaxation system.
【Fund】: 国家自然科学基金资助项目(10571075);; 广东省自然科学基金资助项目(04010473)
【CateGory Index】: O241.5
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Chinese Journal Full-text Database 6 Hits
1 LIU Hong-xia, HUO Ping (Dept. of Mathematics, Jinan University, Guangzhou 510632, China);L~1-error estimate of the viscosity method for initial-boundary problems with scalar conservation laws[J];Journal of Jinan University(Natural Science & Medicine Edition);2002-01
3 Wang Yi Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China;ZERO DISSIPATION LIMIT OF THE COMPRESSIBLE HEAT-CONDUCTING NAVIER-STOKES EQUATIONS IN THE PRESENCE OF THE SHOCK[J];数学物理学报(英文版);2008-04
4 Liu Hongxia Department of Mathematics,Jinan University,Guangzhou 510632,ChinaPan Tao Department of Mathematics,Jinan University,Guangzhou 510632,China;POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY[J];数学物理学报(英文版);2009-01
5 Wang Jinghua Institute of Systems Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China;REGULARITY OF ENTROPY SOLUTIONS TO NONCONVEX SCALAR CONSERVATION LAWS WITH MONOTONE INITIAL DATA[J];数学物理学报(英文版);2009-03
6 LI Jie-min1,YANG Xiao-hui2(1.School of Mathematics and Computational Science,Zhanjiang Normal College,Zhanjiang 524048,P.R.C.;2.Guangdong Police College,Guangzhou 510440,P.R.C.);The convergence rate for the viscosity approximations of the initial-boundary value problem for scalar conservation laws[J];Journal of Southwest University for Nationalities(Natural Science Edition);2008-02
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