Sharp L1 Continuous Dependence¶of Solutions of Bounded Variation¶for Hyperbolic Systems of Conservation Laws

被引：0
|
作者：
P. Goatin
P. G. LeFloch
机构：
[1] Centre de Mathématiques Appliquées¶& Centre National de la Recherche Scientifique¶U.M.R.~7641,
[2] Ecole Polytechnique¶91128 Palaiseau Cedex,undefined
[3] France¶e-mail: goatin@cmap.polytechnique.fr¶e-mail: lefloch@cmap.polytechnique.fr,undefined
来源：
Archive for Rational Mechanics and Analysis | 2001年 / 157卷
关键词：
Entropy; Total Variation; General System; Typical Model; Hyperbolic System;
D O I：
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学科分类号：
摘要：
In this paper, we establish the sharp L1 continuous dependence of entropy solutions of bounded variation for genuinely nonlinear hyperbolic systems of conservation laws. The sharp estimate contains quadratic and cubic dissipation terms which are precisely identified. For general systems, the results hold for solutions with small total variation. For a typical model arising in continuum physics, we can handle solutions with large total variation.
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页码：35 / 73
页数：38
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