Multi-dimensional electrochemistry model
type: Item
instance of: scholarly article
title: Multi-dimensional electrochemistry model
zbMATH Open document ID: 0832.35013
DOI: 10.1007/BF00375143
author: Roger Lui
author: Y. S. Choi
published in: Archive for Rational Mechanics and Analysis
publication date: 1995-09-17T00:00:00Z
review text: The system (which is based on a standard model in electrochemistry) \[ {\partial u_i\over \partial t}= d_i\text{ div}(\nabla u_i+ \mu z_i u_i \nabla\varphi),\;i= 1,\dots, m,\;\mu> 0,\;d_i> 0,\;z_i\text{ is integer-valued}, \] \[ \varepsilon \Delta\varphi= - e\sum z_k u_k,\quad \varepsilon> 0,\quad e> 0 \] is considered together with given boundary and initial conditions. A priori time independent bounds for the solutions are obtained. The existence and uniqueness of steady- state solutions are proved. The main result concerns the global stability of the steady-state solutions.
reviewed by: Josef Diblík
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92E20
zbMATH DE Number: 797110
zbMATH Keywords: global stability
MaRDI profile type: Publication
cites work: Q4073917
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cites work: Topics in stability and bifurcation theory
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description: scientific article; zbMATH DE number 797110