Curved fronts of bistable reaction–diffusion equations with nonlinear convection
Curved fronts of bistable reaction–diffusion equations with nonlinear convection
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.