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Fluids Under Pressure

SYSNO ASEP	0524152
Document Type	M - Monograph Chapter
R&D Document Type	Monograph Chapter
Title	The role of pressure in the theory of weak solutions to the Navier-Stokes equations
Author(s)	Neustupa, Jiří (MU-W)_{RID, SAI, ORCID}
Source Title	Fluids Under Pressure. - Basel : Springer, 2020 / Bodnár T. ; Galdi G. ; Nečasová Š. - ISBN 978-3-030-39638-1
Pages	s. 349-416
Number of pages	68 s.
Number of copy	200
Number of pages	638
Publication form	Print - P
Action	Fluids under Pressure
Event date	29.08.2016 - 02.09.2016
VEvent location	Prague
Country	CZ - Czech Republic
Event type	WRD
Language	eng - English
Country	CH - Switzerland
Keywords	viscous incompressible fluid ; Navier-Stokes equations ; weak solutions ; associated pressure
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA16-03230S GA ČR - Czech Science Foundation (CSF)
Institutional support	MU-W - RVO:67985840
DOI	10.1007/978-3-030-39639-8_4
Annotation	Sections 1 and 2 contain an introduction, notation and definitions and basic properties of used function spaces and operators. A pressure, associated with a weak solution to the Navier-Stokes equations for incompressible fluid, is constructed in section 3. The interior regularity of the pressure in regions, where the velocity satisfies Serrin's integrability conditions, is studied in section 4. Finally, section 5 is devoted to criteria of regularity for weak solutions to the Navier-Stokes equations, formulated in terms of the pressure.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2021

Number of the records: 1