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Linearized Navier-Stokes equations in R3: an approach in weighted Sobolev spaces
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SYSNO ASEP 0430370 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Linearized Navier-Stokes equations in R3: an approach in weighted Sobolev spaces Author(s) Amrouche, Ch. (FR)
Meslameni, M. (FR)
Nečasová, Šárka (MU-W) RID, SAI, ORCIDSource Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 7, č. 5 (2014), s. 901-916Number of pages 16 s. Language eng - English Country US - United States Keywords generalized Oseen equations ; weighted Sobolev spaces ; generalized solutions Subject RIV BA - General Mathematics R&D Projects GAP201/11/1304 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000336734400003 EID SCOPUS 84899813793 DOI 10.3934/dcdss.2014.7.901 Annotation In this work, we study the linearized Navier-Stokes equations in R-3, the Oseen equations. We are interested in the existence and the uniqueness of generalized and strong solutions in L-p-theory which makes analysis more difficult. Our approach rests on the use of weighted Sobolev spaces. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2015
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