On a Lyapunov functional relating shortening curves and viscous conservation laws

被引：18

作者：

Bianchini, S ^{[1
]}

Bressan, A ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 04期

关键词：

area functional; parabolic estimates; Glimm functional;

D O I：

10.1016/S0362-546X(01)00848-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

The Lyapunov functional relating shortening curves and viscous conservation laws was presented. The two points A, B were fixed in the plane R2 and the family FAB of all polygonal lines joining A with B. Results showed that there may not exist a Borel function λ for an arbitrary flux function.

引用

页码：649 / 662

页数：14

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