Global unique existence of a positive solution for a system of equations in electrochemistry
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Published:1998
Issue:3
Volume:128
Page:507-524
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Author:
Chae Dongho,Imanuvilov Oleg Yu.
Abstract
In this paper we prove global-in-time existence and uniqueness of a positive solution for the system of nonlinear partial differential equations arising from an electrochemistry model. The powers of nonlinearity are allowed to be arbitrary positive integers, and our domain is any bounded subdomain of ℝ2 with a smooth boundary.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference11 articles.
1. 2 Chae D. and Kim E. . Existence and uniqueness of positive steady-state solutions of an electrochemistry model with a single reaction. RIM-GARC Preprint Series 96–47.