圆柱体中反应-平流-扩散方程发散行波的渐近稳定性

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI:10.1007/s00033-024-02298-5

Fu-Jie Jia, Zhi-Cheng Wang, Gai-Hui Guo

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引用次数: 0

摘要

本文主要研究圆柱体中反应-平流-扩散方程 \(u_{t}-\Delta u+\alpha (t,y)u_{x}=f(t,y,u)\) 发散行波的渐近稳定性。通过滑动法，我们首先建立了Liouville 型结果。然后，利用 Liouville 型结果和截断技术，我们证明了发散行波的渐近稳定性。

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The asymptotic stability of diverging traveling waves for reaction–advection–diffusion equations in cylinders

This paper is devoted to the asymptotic stability of diverging traveling waves for reaction–advection–diffusion equation \(u_{t}-\Delta u+\alpha (t,y)u_{x}=f(t,y,u)\) in cylinders. By the sliding method, we first establish a Liouville-type result. Then, using the Liouville-type result and truncation technique, we prove the asymptotic stability of the diverging traveling wave.

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Zeitschrift für angewandte Mathematik und Physik

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