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

共 50 条

[1] On the global existence of solutions to an aggregation model
Kowalczyk, Remigiusz
Szymanska, Zuzanna
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (01) : 379 - 398
[2] Existence of global solutions to a model of chondrogenesis
Kazmierczak, B.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 32 (03) : 264 - 283
[3] EXISTENCE OF SOLUTIONS TO THE DIFFUSIVE VSC MODEL
Hulshof, J.
Nolet, R.
Prokert, G.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (02) : 700 - 727
[4] Existence of positive solutions for a thermostat model
Webb, J. R. L.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 923 - 938
[5] ON THE EXISTENCE OF SOLUTIONS TO THE CONTINUUM MODEL OF DELAMINATION
NANIEWICZ, Z
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (05) : 481 - 507
[6] EXISTENCE OF SOLUTIONS FOR A MODEL OF MICROWAVE HEATING
Colli, Pierluigi
Scarpa, Luca
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (06) : 3011 - 3034
[7] ON THE EXISTENCE OF SOLUTIONS FOR A DRIFT-DIFFUSION SYSTEM ARISING IN CORROSION MODELING
Chainais-Hillairet, Claire
Lacroix-Violet, Ingrid
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (01): : 77 - 92
[8] EXISTENCE OF SOLUTIONS FOR AN OLDROYD MODEL OF VISCOELASTIC FLUIDS
De Araujo, Geraldo M.
De Menezes, Silvano B.
Marinho, Alexandro O.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[9] Global existence of periodic solutions in an infection model
Sun, Xinguo
Wei, Junjie
APPLIED MATHEMATICS LETTERS, 2015, 48 : 118 - 123
[10] EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
Larsen, Christopher J.
Ortner, Christoph
Suli, Endre
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010, 20 (07): : 1021 - 1048

← 1 2 3 4 5 →