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

页码：1784 / 1789

页数：6

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