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

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 criterion
• weak solutions
• navier–stokes-poisson–nernst–planck system
• 3d magneto-micropolar model
• anisotropic lorentz spaces