Next Article in Journal
Using a Fuzzy Inference System to Obtain Technological Tables for Electrical Discharge Machining Processes
Next Article in Special Issue
Multiparametric Contractions and Related Hardy-Roger Type Fixed Point Theorems
Previous Article in Journal
Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms
Previous Article in Special Issue
Averaging Methods for Second-Order Differential Equations and Their Application for Impact Systems
Article

A Regularity Criterion in Weak Spaces to Boussinesq Equations

1
Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363-8202, USA
2
Ecole Normale Supérieure de Mostaganem, University of Mostaganem, P. O. Box 270, Mostaganem 27000, Algeria
3
Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, 95125 Catania, Italy
4
RUDN University, 6 Miklukho, Maklay St, Moscow 117198, Russia
*
Author to whom correspondence should be addressed.
Received: 27 April 2020 / Revised: 27 May 2020 / Accepted: 28 May 2020 / Published: 5 June 2020
(This article belongs to the Special Issue Nonlinear Equations: Theory, Methods, and Applications)
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. View Full-Text
Keywords: Regularity results; Cauchy problem; Boussinesq equations; Lorentz spaces; Navier-Stokes equations; MHD equations; weak solutions Regularity results; Cauchy problem; Boussinesq equations; Lorentz spaces; Navier-Stokes equations; MHD equations; weak solutions
MDPI and ACS Style

Agarwal, R.P.; Gala, S.; Ragusa, M.A. A Regularity Criterion in Weak Spaces to Boussinesq Equations. Mathematics 2020, 8, 920. https://0-doi-org.brum.beds.ac.uk/10.3390/math8060920

AMA Style

Agarwal RP, Gala S, Ragusa MA. A Regularity Criterion in Weak Spaces to Boussinesq Equations. Mathematics. 2020; 8(6):920. https://0-doi-org.brum.beds.ac.uk/10.3390/math8060920

Chicago/Turabian Style

Agarwal, Ravi P., Sadek Gala, and Maria A. Ragusa. 2020. "A Regularity Criterion in Weak Spaces to Boussinesq Equations" Mathematics 8, no. 6: 920. https://0-doi-org.brum.beds.ac.uk/10.3390/math8060920

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop