LOCAL STABILITY OF CRITICAL FRONTS IN NONLINEAR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS

被引：79

作者：

GALLAY, T

机构：

[1] Dept. de Phys. Theorique, Geneva Univ.

来源：

NONLINEARITY | 1994年 / 7卷 / 03期

关键词：

D O I：

10.1088/0951-7715/7/3/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Ginzburg-Landau equation and similar nonlinear parabolic partial differential equations on the real line, we prove the nonlinear stability of the slowest monotonic front solution by computing explicitly the leading term in the asymptotic behaviour of a small perturbation as t --> infinity. The proof is based on the renormalization group method for parabolic equations.

引用

页码：741 / 764

页数：24

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