TY - JOUR
T1 - A Nonlinear Diffusion System with Coupled Nonlinear Boundary Flux
AU - Jinhuan Wang , Miaoqing Tian   & Liang Hong 
JO - Journal of Partial Differential Equations
VL - 1
SP - 11
EP - 31
PY - 2009
DA - 2009/02
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5244.html
KW - Critical exponents
KW - nonlinear diffusion
KW - inner absorptions
KW - nonlinear boundary flux
KW - blow-up
KW - global solutions
KW - characteristic algebraic system
AB - <p>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.</p>