An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle

被引：11
作者：
Fiedler, B. [1 ]
Grotta-Ragazzo, C. [2 ]
Rocha, C. [3 ]
机构：
[1] Free Univ Berlin, Inst Math, Berlin, Germany
[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, Brazil
[3] Inst Super Tecn, Lisbon, Portugal
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2014年 / 69卷 / 03期
关键词：
partial differential equations; variational methods; convection; energy functional; advection; reaction-diffusion equations; periodic boundary conditions; ROTATING WAVES; DYNAMICS;
D O I：
10.1070/RM2014v069n03ABEH004897
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An explicit Lyapunov function is constructed for scalar parabolic reaction-advection-diffusion equations under periodic boundary conditions. The non-linearity is assumed to be even with respect to the advection term. The method followed was originally suggested by H. Matano for, and limited to, separated boundary conditions.
引用
收藏
页码：419 / 433
页数：15
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