Existence of a weak solution to the Navier-Stokes equation in a general time-varying domain by the Rothe method

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SYSNO ASEP	0323467
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Existence of a weak solution to the Navier-Stokes equation in a general time-varying domain by the Rothe method
Title	Existence slabého řešení Navierovy-Stokesovy rovnice v obecné časově proměnné oblasti Rotheho metodou
Author(s)	Neustupa, Jiří (MU-W)_{RID, SAI, ORCID}
Source Title	Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214 Roč. 32, č. 6 (2009), s. 653-683
Number of pages	31 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	Nvier-Stokes equations ; weak solutions
Subject RIV	BA - General Mathematics
R&D Projects	GA201/08/0012 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000264941800003
Annotation	We assume that .omega.^t is a domain in R^3, arbitrarily (but continuously) varying for 0/leq t/leq T. We impose no conditions on smoothness or shape of .omega.^t. We prove the global in time existence of a weak solution of the Navier-Stokes equation with Dirichlet´s homogeneous or inhomogeneous boundary condition on the boundary. The solution satisfies the energy-type inequality and is weakly continous in dependence on time in a certain sense. As particular examples, we consider flows around rotating bodies and around a body striking to a rigid wall.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2009

Number of the records: 1