Navier-Stokes-Fourier system with general boundary conditions

0544648 - MÚ 2022 RIV DE eng J - Journal Article
Feireisl, Eduard - Novotný, A.
Navier-Stokes-Fourier system with general boundary conditions.
Communications in Mathematical Physics. Roč. 386, č. 2 (2021), s. 975-1010. ISSN 0010-3616. E-ISSN 1432-0916
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier system * boundary condition
OECD category: Pure mathematics
Impact factor: 2.361, year: 2021
Method of publishing: Limited access
https://doi.org/10.1007/s00220-021-04091-1

We consider the Navier–Stokes–Fourier system in a bounded domain Ω ⊂ Rd, d= 2 , 3 , with physically realistic in/out flow boundary conditions. We develop a new concept of weak solutions satisfying a general form of relative energy inequality. The weak solutions exist globally in time for any finite energy initial data and comply with the weak–strong uniqueness principle.
Permanent Link: http://hdl.handle.net/11104/0321480