Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit

URN to cite this document:: urn:nbn:de:bvb:355-epub-547955
DOI to cite this document:: 10.5283/epub.54795

Matioc, Bogdan-Vasile

; Prokert, Georg

License: Creative Commons Attribution 4.0
PDF - Published Version
(563kB)

Date of publication of this fulltext: 10 Oct 2023 04:47

Alternative links to fulltext:DOI Publisher

This publication is part of the DEAL contract with Springer.

Details

Preview

Export bibliographical data

Abstract

We consider the quasistationary Stokes flow that describes the motion of a two-dimensional fluid body under the influence of surface tension effects in an unbounded, infinite-bottom geometry. We reformulate the problem as a fully nonlinear parabolic evolution problem for the function that parameterizes the boundary of the fluid with the nonlinearities expressed in terms of singular integrals. We ...