论文标题
空间周期性介质中可动的反应扩散方程的脉动波速的连续性
Continuity of pulsating wave speeds for bistable reaction-diffusion equations in spatially periodic media
论文作者
论文摘要
本文涉及空间周期性介质中多维反应扩散方程的脉动波。首先，假设存在连接两个线性稳定稳态状态的脉动波，我们研究波速的连续性相对于传播方向。在[15]中证明了连续性在额外的条件下，速度在各个方向上均非零。在这里，我们在没有额外条件的情况下重新审视了这种连续性结果。其次，我们提供一些足够的条件，以确保快速振荡培养基中脉动波的存在，从而使方程具有多个稳定的稳态。
This paper is concerned with pulsating waves for multi-dimensional reaction-diffusion equations in spatially periodic media. First, assuming the existence of pulsating waves connecting two linearly stable steady states, we study the continuity of wave speeds with respect to the direction of propagation. The continuity was proved in [15] under the extra condition that the speeds are nonzero in all directions. Here, we revisit this continuity result without the extra condition. Secondly, we provide some sufficient conditions ensuring the existence of pulsating waves in rapidly oscillating media, which allow the equations to have multiple stable steady states.
