A Regularity Criterion in Weak Spaces to Boussinesq Equations

Ravi P. Agarwal, Sadek Gala and Maria Alessandra Ragusa
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Ravi P. Agarwal: Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363-8202, USA
Sadek Gala: Ecole Normale Supérieure de Mostaganem, University of Mostaganem, P. O. Box 270, Mostaganem 27000, Algeria
Maria Alessandra Ragusa: Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, 95125 Catania, Italy

Mathematics, 2020, vol. 8, issue 6, 1-11

Abstract: In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz spaces.

Keywords: Regularity results; Cauchy problem; Boussinesq equations; Lorentz spaces; Navier-Stokes equations; MHD equations; weak solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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