Stability of contact lines in 2D stationary Benard convection

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-04 DOI:10.4310/cms.2024.v22.n3.a6

Yunrui Zheng

引用次数: 0

Abstract

We consider the evolution of contact lines for thermal convection of viscous fluids in a two-dimensional open-top vessel. The domain is bounded above by a free moving boundary and otherwise by the solid wall of a vessel. The dynamics of the fluid are governed by the incompressible Boussinesq approximation under the influence of gravity, and the interface between fluid and air is under the effect of capillary forces. Here we develop global well posedness theory in the framework of nonlinear energy methods for the initial data sufficiently close to equilibrium. Moreover, the solutions decay to equilibrium at an exponential rate. Our methods are mainly based on the elliptic analysis near corners and a priori estimates of a geometric formulation of the Boussinesq equations.

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二维静止贝纳德对流中接触线的稳定性

我们考虑二维敞口容器中粘性流体热对流接触线的演变。域的上方以自由移动边界为界，其他部分以容器的实体壁为界。在重力作用下，流体的动力学受不可压缩的布森斯克近似法控制，流体与空气之间的界面受毛细力作用。在此，我们在非线性能量方法的框架内，针对充分接近平衡的初始数据，发展了全局井摆性理论。此外，解以指数速度衰减到平衡状态。我们的方法主要基于角附近的椭圆分析和对布辛斯方程几何公式的先验估计。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.