A semilinear parabolic system arising in the nuclear reactors
type: Item
instance of: scholarly article
title: A semilinear parabolic system arising in the nuclear reactors
zbMATH Open document ID: 0838.35060
author: Mingxin Wang
author: Yong-geng Gu
published in: Chinese Science Bulletin
publication date: 1996-05-30T00:00:00Z
review text: This note studies global existence and blow up of solutions of the following initial boundary value problem, which arises in nuclear reactors modeling \[ u_{1t}- \Delta u_1= u_1(Bu_2- b),\;u_{2t}- \Delta u_2= au_1,\qquad x\in \Omega, \] \[ {\partial u_1\over \partial n}= 0,\;{\partial u_2\over \partial n}+ \alpha u_2= 0,\;x\in \partial\Omega,\;u_1(x, 0)= u_{10}(x)\geq 0,\;u_2(x, 0)= u_{20}(x)\geq 0,\;x\in \overline\Omega. \]
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 713514
zbMATH Keywords: positive stationary solution
zbMATH Keywords: threshold phenomenon
zbMATH Keywords: nuclear reactors
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 713514