A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness
Analysis of PDEs
2019-02-20 v1
Abstract
Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For this problem we prove the existence of classical solutions for a short time.
Keywords
Cite
@article{arxiv.1409.7252,
title = {A moving boundary problem for the Stokes equations involving osmosis: variational modelling and short-time well-posedness},
author = {Friedrich Lippoth and Mark A. Peletier and Georg Prokert},
journal= {arXiv preprint arXiv:1409.7252},
year = {2019}
}