CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC CONSERVATION LAW

被引：23

作者：

LU, YG

机构：

[1] Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 150卷 / 01期

关键词：

D O I：

10.1007/BF02096565

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A convergence theorem for the method of artificial viscosity applied to the nonstrictly hyperbolic system upsilon(t) + (upsilonu)x = 0, u(t) + (1/2u2 + integral(upsilon) s(s + delta)r-3ds)x = 0 (delta > 0, r > 3) is established. Convergence of a subsequence in the strong topology is proved without uniform estimates on the derivatives using the theory of compensated compactness and an analysis of progressing entropy waves.

引用

页码：59 / 64

页数：6

共 11 条

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[2]

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[3]

DING XX, 1985, ACTA MATH SCI, V4, P483

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