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Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions
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SYSNO ASEP 0577226 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Gwiazda, P. (PL)
Kwon, Y.-S. (KR)
Świerczewska-Gwiazda, A. (PL)Article number 84 Source Title Journal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
Roč. 25, č. 4 (2023)Number of pages 27 s. Language eng - English Country DE - Germany Keywords compressible MHD system ; stellar magnetoconvection ; weak solution Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA21-02411S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 001150781000001 EID SCOPUS 85173560257 DOI 10.1007/s00021-023-00827-2 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1007/s00021-023-00827-2
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