The compressible Navier-Stokes-Cahn-Hilliard equations with dynamic boundary conditions

0520860 - MÚ 2020 RIV SG eng J - Journal Article
Cherfils, L. - Feireisl, Eduard - Michálek, Martin - Miranville, A. - Petcu, M. - Pražák, D.
The compressible Navier-Stokes-Cahn-Hilliard equations with dynamic boundary conditions.
Mathematical Models and Methods in Applied Sciences. Roč. 29, č. 14 (2019), s. 2557-2584. ISSN 0218-2025. E-ISSN 1793-6314
R&D Projects: GA MŠMT(CZ) 7AMB17FR053
Institutional support: RVO:67985840
Keywords : compressible Navier–Stokes–Cahn–Hilliard * two-phase flow * dynamic boundary conditions
OECD category: Pure mathematics
Impact factor: 3.044, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1142/S0218202519500544

We consider the compressible Navier-Stokes-Cahn-Hilliard system describing the behavior of a binary mixture of compressible, viscous and macroscopically immiscible fluids. The equations are endowed with dynamic boundary conditions which allows taking into account the interaction between the fluid components and the rigid walls of the physical domain. We establish the existence of global-in-time weak solutions for any finite energy initial data.
Permanent Link: http://hdl.handle.net/11104/0305517