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.
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页码：894 / 908
页数：15
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