A time-dependent perturbation solution from a steady state for Marangoni problem

被引：5

作者：

Wang, Huichao ^{[1
]}

Wang, Quan ^{[1
]}

Liu, Ruikuan ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China

来源：

APPLICABLE ANALYSIS | 2018年 / 97卷 / 09期

关键词：

Marangoni problem; T-weakly continuous theory; perturbation; global weak solution; INITIAL-VALUE PROBLEM; BOUSSINESQ EQUATIONS; CONVECTION; MODEL;

D O I：

10.1080/00036811.2017.1317089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, based on the T-weakly continuous theory, we prove the existence of global weak solution of the 2D incompressible Marangoni problem, which is modelled by the Boussinesq equations omitting effect of buoyancy. Moreover, we show that such weak solution is unique, and which is a time-dependent perturbation solution from a steady state.

引用

页码：1526 / 1539

页数：14

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