The existence of solutions to a corrosion model

被引：2
|
作者：
Chainais-Hillairet, Claire [1 ]
Lacroix-Violet, Ingrid
机构：
[1] Univ Lille 1, Lab Paul Painleve, CNRS UMR 8524, F-59655 Villeneuve Dascq, France
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 11期
关键词：
Corrosion; Slotboom variables; Fixed point theorem;
D O I：
10.1016/j.aml.2012.02.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider a corrosion model of iron based alloy in a nuclear waste repository. It consists of a PDE system, similar to the steady-state drift-diffusion system arising in semiconductor modelling. The main difference lies in the boundary conditions, since they are Robin boundary conditions and imply an additional coupling between the equations. Using a priori estimates for the solution and Schauder's fixed point theorem, we show the existence of solutions to the corrosion model. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1784 / 1789
页数：6
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