Multidimensional stability of planar travelling waves

被引：80

作者：

Kapitula, T ^{[1
]}

机构：

[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 01期

关键词：

D O I：

10.1090/S0002-9947-97-01668-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The multidimensional stability of planar travelling waves for systems of reaction-diffusion equations is considered in the case that the diffusion matrix is tile identity. It is shown that if the wave is exponentially orbitally stable in one space dimension, then it is stable for x is an element of R(n), n greater than or equal to 2. Furthermore, it is shown that the perturbation of the wave decays like t(-(n-1)/4) as t --> infinity. The result is proved via an application of linear semigroup theory.

引用

页码：257 / 269

页数：13

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