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

0520860 - MÚ 2020 RIV SG eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT(CZ) 7AMB17FR053
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier–Stokes–Cahn–Hilliard * two-phase flow * dynamic boundary conditions
Obor OECD: Pure mathematics
Impakt faktor: 3.044, rok: 2019
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0305517