Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities

Abstract

This paper deals with the global existence and the global nonexistence of a doubly nonlinear parabolic system coupled via both nonlinear reaction terms and nonlinear boundary flux. The authors first establish a weak comparison principle, then by constructing various upper and lower solutions, some appropriate conditions for global existence and global nonexistence of solutions are determined respectively.

Keywords

• doubly nonlinear parabolic system
• global existence
• blow up
• nonlinearity