Fluids Under Control

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SYSNO ASEP	0575330
Document Type	M - Monograph Chapter
R&D Document Type	Monograph Chapter
Title	On some recent results from the theory of MHD equations
Author(s)	Neustupa, Jiří (MU-W)_{RID, SAI, ORCID} Yang, M. (KR)
Source Title	Fluids Under Control. - Cham : Birkhäuser, 2023 / Bodnár T. ; Galdi G. P. ; Nečasová Š. - ISSN 2297-0320 - ISBN 978-3-031-27624-8
Pages	s. 171-197
Number of pages	27 s.
Number of copy	200
Number of pages	359
Publication form	Print - P
Language	eng - English
Country	CH - Switzerland
Keywords	MHD equations ; Hall-MHD equations
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GC22-08633J GA ČR - Czech Science Foundation (CSF)
Institutional support	MU-W - RVO:67985840
DOI	10.1007/978-3-031-27625-5_6
Annotation	This chapter shows the main ideas of the derivation of the MHD and Hall-MHD equations (Sect. 1) and provides a brief survey of qualitative properties of these equations (Sect. 2). Some results that concern the role of the pressure in the theory of the MHD equations are presented in Sect. 3, and one local regularity criterion for suitable weak solutions to the MHD equations, which uses the behavior of the L3-norm of the velocity and the magnetic field as t approaches the hypothetic singular time t0, is presented in Sect. 4.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2024

Number of the records: 1