Lp-theory for a fluid-structure interaction model

被引：0

作者：

Denk, Robert ^{[1
]}

Saal, Juergen ^{[2
]}

机构：

[1] Univ Konstanz, Fachbereich Math & Stat, D-78457 Constance, Germany

[2] Heinrich Heine Univ Dusseldorf, Math Inst, Angew Anal, D-40204 Dusseldorf, Germany

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 05期

关键词：

Fluid-structure interaction; maximal regularity; Newton polygon; WEAK SOLUTIONS; UNSTEADY INTERACTION; VISCOUS-FLUID; EXISTENCE;

D O I：

10.1007/s00033-020-01387-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a fluid-structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing the Newton polygon approach, we first prove maximal regularity in L-p-Sobolev spaces for a linearized version. Based on this, we show existence and uniqueness of the strong solution of the nonlinear system for small data.

引用

页数：18

共 26 条

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