A Nonlinear Diffusion System with Coupled Nonlinear Boundary Flux

A Nonlinear Diffusion System with Coupled Nonlinear Boundary Flux

Year:    2009

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 11–31

Abstract

This paper studies a nonlinear diffusion system with coupled nonlinear boundary flux and two kinds of inner sources (positive for the first and negative for the second), where the four nonlinear mechanisms are described by eight nonlinear parameters. The critical exponent of the system is determined by a complete classification of the eight nonlinear parameters, which is represented via the characteristic algebraic system introduced to the problem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-JPDE-5244

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 1 : pp. 11–31

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Critical exponents