1. On Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions
- Author
-
Maan A. Rasheed
- Subjects
General Computer Science ,General Mathematics ,Science ,010102 general mathematics ,Mathematical analysis ,Mathematics::Analysis of PDEs ,General Physics and Astronomy ,Rection-Diffusion equation ,Blow-up set ,Blow-up rate estimate ,Comparison principle ,Radial function ,General Chemistry ,01 natural sciences ,Agricultural and Biological Sciences (miscellaneous) ,General Biochemistry, Genetics and Molecular Biology ,010101 applied mathematics ,Parabolic system ,Mathematics::Algebraic Geometry ,Boundary value problem ,0101 mathematics ,Mathematics - Abstract
This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the lower and upper blow-up rate estimates are derived. Moreover, the blow-up set under some restricted assumptions is studied.
- Published
- 2021