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Research Article | Open Access

Blow-up criteria for different fluid models in anisotropic Lorentz spaces

Muhammad Naqeeb1, Amjad Hussain1, Ahmad Mohammed Alghamdi2( )
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan
Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al-Qura University, P.O. Box 14035, Makkah 21955, Saudi Arabia
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Abstract

This paper establishes new blow-up criteria, in anisotropic Lorentz spaces, via one-directional derivatives of the velocity and magnetic fields for the Cauchy problem to the 3D magneto-micropolar model and via one-directional derivative of velocity for the Cauchy problem to the 3D nonlinear dissipative system.

Keywords

blow-up criterionweak solutionsNavier–Stokes-Poisson–Nernst–Planck system3D magneto-micropolar modelanisotropic Lorentz spaces
CLC number: 35Q35, 76D03

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4700-4713
DOI: 10.3934/math.2023232

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Cite this article:
Naqeeb M, Hussain A, Alghamdi AM. Blow-up criteria for different fluid models in anisotropic Lorentz spaces. AIMS Mathematics, 2023, 8(2): 4700-4713. https://doi.org/10.3934/math.2023232

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Received: 12 July 2022
Revised: 24 November 2022
Accepted: 27 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)