Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition

Authors
Pedersen, M Lin, ZQ
Citation
M. Pedersen et Zq. Lin, Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition, APPL MATH L, 14(2), 2001, pp. 171-176
Citations number
21
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
2
Year of publication
2001
Pages
171 - 176
Database
ISI
SICI code
0893-9659(200102)14:2<171:BAFASO>2.0.ZU;2-X
Abstract
Consider the system of heat equations u(it) - Deltau(i) = 0 (i = 1,..., k, u(k+1) := u(1)) in Omega x (0, T) coupled through nonlinear boundary condit ions partial derivativeu(i)/partial derivative eta = u(i+1)(pi) on partial derivative Omega x [0,T). The upper and lower bounds of the blow-up rate is derived. (C) 2000 Elsevier Science Ltd. Ail rights reserved.