Two phase flows of compressible viscous fluids

0557876 - MÚ 2023 RIV US eng J - Journal Article
Feireisl, Eduard - Novotný, A.
Two phase flows of compressible viscous fluids.
Discrete and Continuous Dynamical systems - Series S. Roč. 15, č. 8 (2022), s. 2215-2232. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : two phase flow * compressible fluid * varifold solution * non-Newtonian fluid
OECD category: Pure mathematics
Impact factor: 1.8, year: 2022
Method of publishing: Limited access
http://dx.doi.org/10.3934/dcdss.2022091

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.
Permanent Link: http://hdl.handle.net/11104/0331724