101. Curved fronts of bistable reaction–diffusion equations with nonlinear convection
- Author
-
Jiayin Liu and Hui-Ling Niu
- Subjects
Algebra and Number Theory ,Partial differential equation ,Bistability ,Applied Mathematics ,lcsh:Mathematics ,010102 general mathematics ,Mathematical analysis ,Front (oceanography) ,Bistable nonlinearity ,Space (mathematics) ,Reaction–diffusion equation ,lcsh:QA1-939 ,01 natural sciences ,010101 applied mathematics ,Traveling curved front ,Nonlinear convection ,Stability theory ,Ordinary differential equation ,Reaction–diffusion system ,0101 mathematics ,Nonlinear Sciences::Pattern Formation and Solitons ,Stability ,Analysis ,Mathematics - Abstract
This paper is concerned with traveling curved fronts of bistable reaction–diffusion equations with nonlinear convection in a two-dimensional space. By constructing super- and subsolutions, we establish the existence of traveling curved fronts. Furthermore, we show that the traveling curved front is globally asymptotically stable.
- Published
- 2020