| 具有delta-激波的非线性双曲守恒定律的初边值问题 |
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| 引用本文： | YAO Ai-di,盛万成.具有delta-激波的非线性双曲守恒定律的初边值问题[J].上海大学学报(英文版),2008,12(4):306-310. |
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| 作者姓名： | YAO Ai-di 盛万成 |
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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.
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| 关 键 词： | delta-激波 非线性双曲守恒律 初边值问题 数学应用 |
| 收稿时间： | 2006-09-28 |
| 修稿时间： | 2006-12-18 |
Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves |
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| YAO Ai-di,SHENG Wan-cheng.Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves[J].Journal of Shanghai University(English Edition),2008,12(4):306-310. |
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| Authors: | YAO Ai-di SHENG Wan-cheng |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | 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. |
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| Keywords: | initial-boundary value problem delta-shock wave linearly degenerated entropy-flux pair entropy boundaryinequality |
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