Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension

被引：5

作者：

Abels, Helmut ^{[1
]}

Daube, Johannes ^{[2
]}

Kraus, Christiane ^{[3
]}

机构：

[1] Univ Regensburg, Fak Math, Univ Str 31, D-93053 Regensburg, Germany

[2] Univ Freiburg, Abt Angew Math, Hermann Herder Str 10, D-79104 Freiburg, Germany

[3] Weierstr Inst, Mohrenstr 39, D-10117 Berlin, Germany

来源：

ASYMPTOTIC ANALYSIS | 2019年 / 113卷 / 1-2期

关键词：

Fluid mechanics; Navier-Stokes equations; free boundary problems; surface tension; PARABOLIC PDES;

D O I：

10.3233/ASY-181507

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the two-phase incompressible Navier-Stokes equations with surface tension, we derive an appropriate weak formulation incorporating a variational formulation using divergence-free test functions. We prove a consistency result to justify our definition and, under reasonable regularity assumptions, we reconstruct the pressure function from the weak formulation.

引用

页码：51 / 86

页数：36

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