UNIQUE SOLVABILITY OF ELLIPTIC PROBLEMS ASSOCIATED WITH TWO-PHASE INCOMPRESSIBLE FLOWS IN UNBOUNDED DOMAINS

被引：2

作者：

Saito, Hirokazu ^{[1
]}

Zhang, Xin ^{[2
]}

机构：

[1] Univ Elect, Dept Math, 5-1 Chofugaoka I chome, Chofu, Tokyo 1828585, Japan

[2] Tongji Univ, Sch Math Sci, 1239 Siping Rd, Shanghai 200092, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 10期

关键词：

unbounded domain; two-phase incompressible flow; Helmholtz-Weyl decomposition;   Elliptic problem; NAVIER-STOKES EQUATIONS; FREE-BOUNDARY PROBLEM; L-Q REGULARITY; INFINITE-LAYER; SURFACE;

D O I：

10.3934/dcds.2021051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows the unique solvability of elliptic problems associated with two-phase incompressible flows, which are governed by the two-phase Navier-Stokes equations with a sharp moving interface, in unbounded domains such as the whole space separated by a compact interface and the whole space separated by a non-compact interface. As a by-product, we obtain the Helmholtz-Weyl decomposition for two-phase incompressible flows.

引用

页码：4609 / 4643

页数：35

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