Steady Boussinesq System with Mixed Boundary Conditions Including Friction Conditions

Pub Date : 2022-01-26 DOI:10.21136/AM.2022.0031-21
Tujin Kim
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引用次数: 1

Abstract

In this paper we are concerned with the steady Boussinesq system with mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak, one-sided leak, velocity, vorticity, pressure and stress conditions together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. For the problem involving the static pressure and stress boundary conditions, it is proved that if the data of the problem are small enough, then there exists a solution and the solution with small norm is unique. For the problem involving the total pressure and total stress boundary conditions, the existence of a solution is proved without smallness of the data.

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含摩擦条件的混合边界条件稳态Boussinesq系统
本文研究具有混合边界条件的稳定Boussinesq系统。流体的边界条件可能包括Tresca滑移、泄漏、单侧泄漏、速度、涡度、压力和应力条件,温度条件可能包括Dirichlet、Neumann和Robin条件。对于涉及静压和应力边界条件的问题,证明了如果问题的数据足够小,则存在一个解,并且具有小范数的解是唯一的。对于涉及总压力和总应力边界条件的问题,在数据不小的情况下证明了解的存在性。
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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