Note on chemical interfacial reaction models
type: Item
instance of: scholarly article
title: Note on chemical interfacial reaction models
zbMATH Open document ID: 0629.35069
author: Yoshio Yamada
author: Shoji Yotsutani
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: From the authors' introduction. We consider the following parabolic system with nonlinear boundary conditions. Find \(u_ i=u_ i(x,t)\) \((i=1,2,3)\) satisfying \[ (1)\quad a_ i(x)\partial u_ i/\partial t=\partial^ 2u_ i/\partial x^ 2,\quad x\in I\equiv (0,1),\quad t\in (0,\infty), \] (2) \((\partial u_ i/\partial x)(0,t)=R_ i(u_ 1(0,t)\), \(u_ 2(0,t)\), \(u_ 3(0,t))\), \(t\in (0,\infty)\), (3) \((\partial u_ i/\partial x)(1,t)=0\), \(t\in (0,\infty)\), (4) \(u_ i(x,0)=\phi_ i(x)\), \(x\in I\), where \(a_ i\) and \(R_ i\) \((i=1,2,3)\) are given functions and \(\phi_ i\) \((i=1,2,3)\) are given initial data.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 80A30
zbMATH DE Number: 4023868
zbMATH Keywords: chemical reaction models
zbMATH Keywords: nonlinear boundary conditions
MaRDI profile type: Publication
full work available at URL: pjaa.62.379
OpenAlex ID: W2036053391
cites work: An application of the invariance principle to reaction diffusion equations
cites work: A Comparison Method for Stability Analysis of Nonlinear Parabolic Problems
cites work: A harnack inequality for parabolic differential equations
DOI: 10.3792/PJAA.62.379
description: scientific article; zbMATH DE number 4023868