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Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves 被引量：2

Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves
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摘要 For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P＇s results by taking a suitable entropy-flux pair （Journal of Differential Equations, 1988, 71（1）： 93-122）. The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions. For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P＇s results by taking a suitable entropy-flux pair （Journal of Differential Equations, 1988, 71（1）： 93-122）. The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions.
作者 姚爱娣 盛万成
机构地区 Department of Mathematics
出处 《Journal of Shanghai University(English Edition)》 CAS 2008年第4期306-310,共5页 上海大学学报（英文版）
基金 Project supported by the National Natural Science Foundation of China （Grant No.10671120）
关键词 initial-boundary value problem delta-shock wave linearly degenerated entropy-flux pair entropy boundary inequality initial-boundary value problem, delta-shock wave, linearly degenerated, entropy-flux pair, entropy boundary inequality
分类号 O1 [理学—基础数学]
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参考文献11

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Journal of Shanghai University(English Edition)
2008年 第4期

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