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

M. Pedersen; Zhigui Lin

doi:10.1016/S0893-9659(00)00131-2

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

M. Pedersen
, Zhigui Lin

Yangzhou University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

Consider the system of heat equations uit - Δui = 0 (i = 1 , . . . , k, uk+i := u1) in Ω x (0, T) coupled through nonlinear boundary conditions ∂ui/∂η = up1i+1 on ∂Ω x [0, T). The upper and lower bounds of the blow-up rate is derived. © 2000 Elsevier Science Ltd. All rights reserved.

Original language	English
Journal	Applied Mathematics Letters
Volume	14
Issue number	2
Pages (from-to)	171-176
ISSN	0893-9659
DOIs	https://doi.org/10.1016/S0893-9659(00)00131-2
Publication status	Published - 2001

Keywords

Computational Mechanics
Control and Systems Engineering
Applied Mathematics
Numerical Analysis
Engineering and Technology
Blow-up rate
Heat equations
Nonlinear boundary conditions

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10.1016/S0893-9659(00)00131-2

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abstract = "Consider the system of heat equations uit - Δui = 0 (i = 1 , . . . , k, uk+i := u1) in Ω x (0, T) coupled through nonlinear boundary conditions ∂ui/∂η = up1i+1 on ∂Ω x [0, T). The upper and lower bounds of the blow-up rate is derived. {\textcopyright} 2000 Elsevier Science Ltd. All rights reserved.",

keywords = "Computational Mechanics, Control and Systems Engineering, Applied Mathematics, Numerical Analysis, Engineering and Technology, Blow-up rate, Heat equations, Nonlinear boundary conditions",

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AU - Pedersen, M.

AU - Lin, Zhigui

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N2 - Consider the system of heat equations uit - Δui = 0 (i = 1 , . . . , k, uk+i := u1) in Ω x (0, T) coupled through nonlinear boundary conditions ∂ui/∂η = up1i+1 on ∂Ω x [0, T). The upper and lower bounds of the blow-up rate is derived. © 2000 Elsevier Science Ltd. All rights reserved.

AB - Consider the system of heat equations uit - Δui = 0 (i = 1 , . . . , k, uk+i := u1) in Ω x (0, T) coupled through nonlinear boundary conditions ∂ui/∂η = up1i+1 on ∂Ω x [0, T). The upper and lower bounds of the blow-up rate is derived. © 2000 Elsevier Science Ltd. All rights reserved.

KW - Computational Mechanics

KW - Control and Systems Engineering

KW - Applied Mathematics

KW - Numerical Analysis

KW - Engineering and Technology

KW - Blow-up rate

KW - Heat equations

KW - Nonlinear boundary conditions

U2 - 10.1016/S0893-9659(00)00131-2

DO - 10.1016/S0893-9659(00)00131-2

M3 - Journal article

SN - 0893-9659

VL - 14

SP - 171

EP - 176

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 2

ER -

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

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