Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions

0577226 - MÚ 2024 RIV DE eng J - Journal Article
Feireisl, Eduard - Gwiazda, P. - Kwon, Y.-S. - Świerczewska-Gwiazda, A.
Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions.
Journal of Mathematical Fluid Mechanics. Roč. 25, č. 4 (2023), č. článku 84. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : compressible MHD system * stellar magnetoconvection * weak solution
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00021-023-00827-2

We propose a new concept of weak solution to the equations of compressible magnetohydrodynamics driven by ihomogeneous boundary data. The system of the underlying field equations is solvable globally in time in the out of equilibrium regime characteristic for turbulence. The weak solutions comply with the weak–strong uniqueness principle, they coincide with the classical solution of the problem as long as the latter exists. The choice of constitutive relations is motivated by applications in stellar magnetoconvection.
Permanent Link: https://hdl.handle.net/11104/0346442