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Linearized Navier-Stokes equations in R3: an approach in weighted Sobolev spaces
- 1.0430370 - MÚ 2015 RIV US eng J - Journal Article
Amrouche, Ch. - Meslameni, M. - Nečasová, Šárka
Linearized Navier-Stokes equations in R3: an approach in weighted Sobolev spaces.
Discrete and Continuous Dynamical systems - Series S. Roč. 7, č. 5 (2014), s. 901-916. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA ČR(CZ) GAP201/11/1304
Institutional support: RVO:67985840
Keywords : generalized Oseen equations * weighted Sobolev spaces * generalized solutions
Subject RIV: BA - General Mathematics
Impact factor: 0.567, year: 2014
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9871
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.
Permanent Link: http://hdl.handle.net/11104/0235316
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