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On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains
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SYSNO ASEP 0340592 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains Author(s) Kukučka, Peter (MU-W) SAI Source Title Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214
Roč. 32, č. 11 (2009), s. 1428-1451Number of pages 24 s. Language eng - English Country GB - United Kingdom Keywords Navier-Stokes system ; renormalized solution ; energy inequality Subject RIV BA - General Mathematics R&D Projects LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000268265900006 DOI 10.1002/mma.1101 Annotation This paper studies the existence of weak solutions of the Navier-Stokes system defined on a certain class of domains in R-3 that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps must be related to the adiabatic constant appearing in the pressure law. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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