Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces-Reference-Cited by-同舟云学术

Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Agarwal Ravi P.¹,Alghamdi Ahmad M.²,Gala Sadek³⁴,Ragusa Maria Alessandra⁴⁵

Affiliation:

1. Department of Mathematics, Texas A & M University-Kingsville , Kingsville , USA

2. Department of Mathematical Science, Faculty of Applied Sciences, Umm Al-Qura University , Makkah 21955 , Saudi Arabia

3. University of Mostaganem , Mostaganem, 27000 , Algeria

4. Dipartimento di Matematica e Informatica, Università di Catania , Catania , Italy

5. Faculty of Fundamental Science, Industrial University , Ho Chi Minh City , Vietnam

Abstract

Abstract In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces. This result reveals that the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0221/pdf

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