Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials

被引：6

作者：

Matioc, Bogdan-Vasile ^{[1
]}

Prokert, Georg ^{[2
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[2] Tech Univ Eindhoven, Fac Math & Comp Sci, Eindhoven, Netherlands

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2021年 / 151卷 / 06期

关键词：

Stokes problem; two-phase; singular integrals; contour integral formulation; MUSKAT PROBLEM; INTERFACE; REGULARITY;

D O I：

10.1017/prm.2020.82

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assumed to be two-dimensional with the fluids filling the entire space. We prove well-posedness and parabolic smoothing in Sobolev spaces up to critical regularity. The main technical tools are an analysis of nonlinear singular integral operators arising from the hydrodynamic single-layer potential and abstract results on nonlinear parabolic evolution equations.

引用

页码：1815 / 1845

页数：31

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