Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids

0548752 - MÚ 2022 RIV CH eng J - Článek v odborném periodiku
Jin, B. - Kwon, Y.-S. - Nečasová, Šárka - Novotný, A.
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids.
Journal of Elliptic and Parabolic Equations. Roč. 7, č. 2 (2021), s. 537-570. ISSN 2296-9020
Grant CEP: GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible fluid * bi-fluid model * non-linear viscous fluid
Obor OECD: Pure mathematics
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s41808-021-00137-6

Following Abbatiello et al. (DCCDS-A 41(1):1–28, 2020), we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids filling a bounded domain with general non zero inflow/outflow boundary conditions. We prove existence of such solutions for all adiabatic coefficients γ> 1 , their compatibility with classical solutions, the relative energy inequality, and the weak–strong uniqueness principle in this class. The class of dissipative turbulent solutions is so far the largest class of generalized solutions which still enjoys the weak–strong uniqueness property.
Trvalý link: http://hdl.handle.net/11104/0324820