Asymptotic stability of solutions to the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions

0559075 - MÚ 2023 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Kwon, Y.-S.
Asymptotic stability of solutions to the Navier-Stokes-Fourier system driven by inhomogeneous Dirichlet boundary conditions.
Communications in Partial Differential Equations. Roč. 47, č. 7 (2022), s. 1435-1456. ISSN 0360-5302. E-ISSN 1532-4133
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: bounded absorbing set * Dirichlet boundary conditions * long-time behavior * Navier-Stokes-Fourier system
Obor OECD: Pure mathematics
Impakt faktor: 1.9, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1080/03605302.2022.2056703

We consider global in time solutions of the Navier–Stokes–Fourier system describing the motion of a general compressible, viscous and heat conducting fluid far from equilibirum. Using a new concept of weak solution suitable to accommodate the inhomogeneous Dirichlet time dependent data we find sufficient conditions for the global in time weak solutions to be ultimately bounded.
Trvalý link: https://hdl.handle.net/11104/0332495