Transverse instability of traveling wave created by longwave Marangoni convection in the liquid layer covered by insoluble surfactant

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2024-06-15 DOI:10.1016/j.physd.2024.134265

Alexander Mikishev , Alexander Nepomnyashchy

引用次数: 0

Abstract

We consider the Marangoni convection in a liquid layer heated from below. The liquid interface is covered by insoluble surfactant that plays an active role in the pattern formation together with inhomogeneity of temperature along the interface and surface deformability. In the vicinity of the onset of Marangoni convection, besides different kinds of stationary patterns (hexagons, rolls, squares), the appearance of wave patterns is possible. We analyze the transverse instability of the single traveling wave (TW) using generalizations of the complex Ginzburg–Landau equation (CGLE).

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不溶性表面活性剂覆盖的液层中由长波马兰戈尼对流产生的行波的横向不稳定性

我们考虑的是自下而上加热液层中的马兰戈尼对流。液体界面被不溶性表面活性剂覆盖，这种表面活性剂在图案形成过程中发挥了积极作用，同时界面温度的不均匀性和表面的可变形性也在起作用。在马兰戈尼对流开始的附近，除了不同种类的静止图案（六边形、卷形、方形）外，还可能出现波浪图案。我们利用复杂金兹堡-朗道方程（CGLE）的广义分析了单一行波（TW）的横向不稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.