Blowup for systems of conservation laws

被引：40

作者：

Jenssen, HK ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2000年 / 31卷 / 04期

关键词：

systems of conservation laws; blowup; total variation; sup-norm; rescaling;

D O I：

10.1137/S0036141099352339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give examples of finite time blowup in sup-norm and total variation for 3 x 3-systems of strictly hyperbolic conservation laws. The exact solutions are explicitly constructed. In the case of sup-norm blowup we also provide an example where all other p-norms, 1 less than or equal to p < infinity, remain uniformly bounded. Finally we consider appropriate rescalings for the different types of blowup.

引用

页码：894 / 908

页数：15

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