Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation

被引：51

作者：

Benguria, RD

Depassier, MC

机构：

[1] Facultad de Física, P. Univ. Católica de Chile, Santiago 22

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1996年 / 175卷 / 01期

关键词：

D O I：

10.1007/BF02101631

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation u(t) = u(xx) + f(u) with f(0) = f(1) = 0, and f > 0 in (0, 1), which permits, in principle, the calculation of the exact speed for arbitrary f.

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页码：221 / 227

页数：7

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