Počet záznamů: 1
Nonlinear Conservation Laws and Applications
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SYSNO ASEP 0369769 Druh ASEP M - Kapitola v monografii Zařazení RIV C - Kapitola v knize Název Mathematical analysis of fluid in motion Tvůrce(i) Feireisl, Eduard (MU-W) RID, SAI, ORCID Zdroj.dok. Nonlinear Conservation Laws and Applications. - New York : Springer, 2011 / Bressan A. - ISBN 978-1-4419-9553-7 Rozsah stran s. 73-100 Poč.str. 28 s. Poč.výt. 500 Poč.str.knihy 490 Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova Navier-Stokes system ; fluid mechanics ; scale analysis Vědní obor RIV BA - Obecná matematika CEP GA201/08/0315 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) DOI 10.1007/978-1-4419-9554-4_3 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
Počet záznamů: 1