非局部时滞扩散方程棱锥形波前解的渐近稳定性

Abstract

Abstract:

The nonplanar traveling fronts of reaction-diffusion equations have been attracted a lot of attention and pyramidal traveling fronts for the nonlocal delayed diffusion equation are also established in $\Bbb{R}^{N}$ with $N\geq 3$ . In fact, the uniqueness and stability for such $N$ -dimensional pyramidal traveling fronts are very interesting problems. The current paper shows that the pyramidal traveling front for the nonlocal delayed diffusion equation in $\Bbb{R}^{3}$ is uniquely determined, which is asymptotically stable when the initial perturbations decay at infinity.

Key words: pyramidal traveling wave solution, reaction-diffusion equation, nonlocal delayed, stability.

CLC Number:

O175.2

Liu Jia, Bao Xiongxiong. Asymptotic Stability of Pyramidal Traveling Front for Nonlocal Delayed Diffusion Equation[J].Acta mathematica scientia,Series A, 2025, 45(1): 44-53.

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References 22

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Asymptotic Stability of Pyramidal Traveling Front for Nonlocal Delayed Diffusion Equation

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