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LINEARIZED NAVIER-STOKES EQUATIONS IN R-3 : AN APPROACH IN WEIGHTED SOBOLEV SPACES
Journal article   Open access  Peer reviewed

LINEARIZED NAVIER-STOKES EQUATIONS IN R-3 : AN APPROACH IN WEIGHTED SOBOLEV SPACES

Cherif Amrouche, Mohamed Meslameni and Sarka Necasova
Discrete and continuous dynamical systems. Series S, Vol.7(5), pp.901-916
01/10/2014
DOI: https://doi.org/10.3934/dcdss.2014.7.901

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.3934/dcdss.2014.7.901View
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