Non-negative global weak solutions for a degenerated parabolic system approximating the two-phase Stokes problem
Analysis of PDEs
2012-10-25 v1
Abstract
We establish the existence of non-negative global weak solutions for a strongly couple degenerated parabolic system which was obtained as an approximation of the two-phase Stokes problem driven solely by capillary forces. Moreover, the system under consideration may be viewed as a two-phase generalization of the classical Thin Film equation.
Cite
@article{arxiv.1210.6457,
title = {Non-negative global weak solutions for a degenerated parabolic system approximating the two-phase Stokes problem},
author = {Joachim Escher and Bogdan-Vasile Matioc},
journal= {arXiv preprint arXiv:1210.6457},
year = {2012}
}