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.

中文翻译：

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具有非线性对流的双稳态反应扩散方程的曲线前沿

本文关注的是二维空间中具有非线性对流的双稳态反应扩散方程的弯曲前线。通过构造超解和子解，我们建立了行进弯曲前锋的存在。此外，我们显示出行进的弯曲前部是全局渐近稳定的。