Blow-up time and boundary layer for solutions in parabolic equations with different diffusion. Issue 16 (10th December 2017)

• Record Type: Journal Article
• Authors: Liu, Bingchen; Li, Fengjie
• Is Part Of: Applicable analysis. Volume 96:Issue 16(2017)
• Page Start: 2818
• Page End: 2831
• Publication Date: 2017-12-10
• Subjects: Blow-up time -- uniform blow-up profile -- boundary layer -- critical non-simultaneous blow-up exponent; 35K57 -- 35K60 -- 35B40 -- 35B33; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1246660
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: This paper deals with parabolic equations with different diffusion coefficients and coupled nonlinear sources, subject to homogeneous Dirichlet boundary conditions. We give many results about blow-up solutions, including blow-up time estimates for all of the spatial dimensions, the critical non-simultaneous blow-up exponents, uniform blow-up profiles, blow-up sets, and boundary layer with or without standard conditions on nonlocal sources. The conditions are much weaker than the ones for the corresponding results in the previous papers.