有对流的多孔介质方程空间周期解的稳定性和衰减率

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2024-11-26 DOI:10.1016/j.physleta.2024.130095

Yechi Liu

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引用次数: 0

摘要

本文讨论了带对流的多孔介质方程空间变量中周期解的渐近稳定性。首先，基于常微分方程中ω极限集理论的论证方法，我们得到了具有周期性初始函数的周期解指数衰减到其平均值。然后，利用这一结果、反求导技术和能量估计，我们证明了周期解的渐近稳定性，并给出了时间衰减率。

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Stability and decay rate of space-periodic solutions to porous medium equations with convection

In this paper, we discuss the asymptotic stability of periodic solutions in the spacial variable to porous medium equations with convection. At first, based on the argument method of the ω-limit set theory in ordinary differential equations, we obtain that the periodic solution with a periodic initial function exponentially decays to its average. Then, using this result, the anti-derivative technique and energy estimates, we prove the asymptotic stability of the periodic solution and give a time decay rate.

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.