Two phase flows of compressible viscous fluids
Analysis of PDEs
2021-07-02 v1
Abstract
We introduce a new concept of dissipative varifold solution to models of two phase compressible viscous fluids. In contrast with the existing approach based on the Young measure description, the new formulation is variational combining the energy and momentum balance in a single inequality. We show the existence of dissipative varifold solutions for a large class of general viscous fluids with non--linear dependence of the viscous stress on the symmetric velocity gradient.
Cite
@article{arxiv.2107.00433,
title = {Two phase flows of compressible viscous fluids},
author = {Eduard Feireisl and Antonin Novotny},
journal= {arXiv preprint arXiv:2107.00433},
year = {2021}
}