Nonlinear diffusion problem with dynamical boundary value

被引：2

作者：

Vrabel, Vladimir ^{[1
]}

Slodicka, Marian ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 246卷

关键词：

Nonlinear diffusion; Dynamical boundary condition; PARABOLIC PROBLEMS; SCHEME;

D O I：

10.1016/j.cam.2012.11.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear degenerate convection-diffusion initial boundary value problem is studied in a bounded domain. A dynamical boundary condition (containing the time derivative of a solution) is prescribed on the one part of the boundary. This models a non-perfect contact on the boundary. The existence and uniqueness of a weak solution in corresponding function spaces is proved using the backward Euler method for the time discretization. Error estimates for time-discrete approximations are derived. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：94 / 103

页数：10

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