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Nonlinear Conservation Laws and Applications

SYSNO ASEP	0369769
Document Type	M - Monograph Chapter
R&D Document Type	Monograph Chapter
Title	Mathematical analysis of fluid in motion
Author(s)	Feireisl, Eduard (MU-W)_{RID, SAI, ORCID}
Source Title	Nonlinear Conservation Laws and Applications. - New York : Springer, 2011 / Bressan A. - ISBN 978-1-4419-9553-7
Pages	s. 73-100
Number of pages	28 s.
Number of copy	500
Number of pages	490
Language	eng - English
Country	US - United States
Keywords	Navier-Stokes system ; fluid mechanics ; scale analysis
Subject RIV	BA - General Mathematics
R&D Projects	GA201/08/0315 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
DOI	10.1007/978-1-4419-9554-4_3
Annotation	Continuum fluid mechanics is a phenomenological theory based on macroscopic observable state variables, the time evolution of which is described by means of systems of partial differential equations. The resulting mathematical problems are highly non-linear and rather complex, even in the simplest physically relevant situations. We discuss several recent results and newly developed methods based on the concept of weak solution. The class of weak solutions is happily large enough in order to guarantee the existence of global-in-time solutions without any essential restrictions on the size of the relevant data. On the other hand, the underlying structural hypotheses impose quite severe restrictions on the specific form of constitutive relations. The best known open problems - hypothetical presence of vacuum zones, propagation of density oscillations, sequential stability of the temperature field, among others - are discussed.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1