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

0559075 - MÚ 2023 RIV US eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : bounded absorbing set * Dirichlet boundary conditions * long-time behavior * Navier-Stokes-Fourier system
OECD category: Pure mathematics
Impact factor: 1.9, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0332495