Blow-up analysis in degenerate parabolic systems coupled via norm-type reactions
Bingchen Liu, Changcheng Zhang · Applicable Analysis · 2015
This paper deals with a class of degenerate parabolic equations coupled via nonlinear reactions in -norm type, subject to null Dirichlet boundary conditions. Firstly, we give the existence and uniqueness of local classical solutions and the comparison principle. Secondly, we determine the critical exponents for the blow-up solutions. Thirdly, all of the uniform blow-up profiles are obtained for simultaneous blow-up solutions.