New regularity criteria for the 3D Hall-MHD equations

Abstract

Abstract. We prove some regularity criteria for smooth solutions of the three-dimensional incompressible Hall-magnetohydrodynamic equations involving only two components of the velocity and magnetic fields.

Peristaltic motion of MHD nanofluid in an asymmetric micro-channel with Joule heating, wall flexibility and different zeta potential

“…Hassan et al [11] explored the properties of the wall in a porous channel, for the peristaltic flow of MHD nanofluid. Alghamdi et al [12] demonstrated the smooth solutions for three-dimensional Hall-MHD equations through regularity criteria. Ahmed et al [13] discussed the generalized time-convection of non-local nanofluids in a vertical channel.…”

Ground state solutions of p-Laplacian singular Kirchhoff problem involving a Riemann-Liouville fractional derivative

“…The mathematical modelling of systems and processes has had a growing development in fields as physics, chemistry, aerodynamics, electro-dynamics of complex medium, polymer rheology (see e.g. [4], [18], [19]). In fact, the subject of fractional differential equations has been gaining more importance and attention in ordinary and partial differential equations involving both Riemann-Liouville and Caputo fractional derivatives.…”