Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

Year:    2009

Author:    Chunhua Jin, Jingxue Yin, Xuping Zhang

Communications in Mathematical Research , Vol. 25 (2009), Iss. 1 : pp. 88–96

Abstract

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case the simultaneous quenching can happen for any solution.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19286

Communications in Mathematical Research , Vol. 25 (2009), Iss. 1 : pp. 88–96

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    quenching simultaneous non-simultaneous nonlinear boundary flux.

Author Details

Chunhua Jin

Jingxue Yin

Xuping Zhang