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

Muhammad Naqeeb; Amjad Hussain; Ahmad Mohammed Alghamdi; Muhammad Naqeeb; Amjad Hussain; Ahmad Mohammed Alghamdi

doi:10.3934/math.2023232

AIMS Mathematics

2023, Volume 8, Issue 2: 4700-4713. doi: 10.3934/math.2023232

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

1.
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan
2.
Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al-Qura University, P.O. Box 14035, Makkah 21955, Saudi Arabia

Received: 12 July 2022 Revised: 24 November 2022 Accepted: 27 November 2022 Published: 07 December 2022
MSC : 35Q35, 76D03

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.
- blow-up criterion,
- weak solutions,
- Navier–Stokes-Poisson–Nernst–Planck system,
- 3D magneto-micropolar model,
- anisotropic Lorentz spaces
Citation: Muhammad Naqeeb, Amjad Hussain, Ahmad Mohammed Alghamdi. Blow-up criteria for different fluid models in anisotropic Lorentz spaces[J]. AIMS Mathematics, 2023, 8(2): 4700-4713. doi: 10.3934/math.2023232

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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.

References

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