论文标题
空间周期性介质中可动反应扩散方程的弯曲前部
Curved fronts of bistable reaction-diffusion equations in spatially periodic media
论文作者
论文摘要
在本文中，在先验的假设下，在各个方向上存在脉动前部的前提下，为空间周期性的双向反应扩散方程构建了弯曲的前沿。给出了一些足够和一些必要的条件。此外，事实证明，弯曲的前沿是独特而稳定的。最后，还构建了具有不同接口的弯曲正面。尽管有空间异质性的影响，但结果表明，存在于均质情况下已知的空间周期性动物反应扩散方程的曲面。
In this paper, curved fronts are constructed for spatially periodic bistable reaction-diffusion equations under the a priori assumption that there exist pulsating fronts in every direction. Some sufficient and some necessary conditions of the existence of curved fronts are given. Furthermore, the curved front is proved to be unique and stable. Finally, a curved front with varying interfaces is also constructed. Despite the effect of the spatial heterogeneity, the result shows the existence of curved fronts for spatially periodic bistable reaction-diffusion equations which is known for the homogeneous case.
