A moving boundary problem for periodic Stokesian Hele-Shaw flows

authored by

Joachim Escher, Bogdan-Vasile Matioc

Abstract

This paper is concerned with the motion of an incompressible, viscous fluid in a Hele-Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to the corresponding moving boundary problem.

Organisation(s)

Institute of Applied Mathematics

Type

Article

Journal

Interfaces and Free Boundaries

Volume

11

Pages

119-137

No. of pages

19

ISSN

1463-9963

Publication date

31.03.2009

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Surfaces and Interfaces

Electronic version(s)

https://doi.org/10.4171/IFB/205 (Access: Open)