Exact solution of a degenerate fully nonlinear diffusion equation

被引：0

作者：

Philip Broadbridge

Joanna M. Goard

机构：

[1] University of Delaware,Department of Mathematical Sciences

[2] University of Wollongong,School of Mathematics and Applied Statistics

来源：

Zeitschrift für angewandte Mathematik und Physik ZAMP | 2004年 / 55卷

关键词：

35D99; 35C05; 35K55; fully nonlinear diffusion; strongly degenerate parabolic;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An exact solution is given for the evolution of an initially v-shaped surface by a fully nonlinear diffusion equation. This is the unique generalized solution that is continuous but not twice differentiable. Since the profile velocity decreases faster than the reciprocal of the profile curvature, the point of infinite curvature persists for a finite positive time.

引用

页码：534 / 538

页数：4

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