3 papers
math.AP2026
On a Partial Voigt Regularization of the 3D Magnetohydrodynamic Equations in Velocity-Vorticity Form
Adam Larios, Yuan Pei
The Velocity-Vorticity (VV) formulation of the incompressible Navier-Stokes equations has become popular in recent years, especially in numerical studies, due to its structural adv…
math.AP2024
Calmed Ohmic Heating for the 2D Magnetohydrodynamic-Boussinesq System: Global Well-posedness and Convergence
Matthew Enlow, Adam Larios, Yuan Pei
When an electric current runs through a fluid, it generates heat via a process known as ``Ohmic heating'' or ``Joule heating.'' While this phenomenon, and its quantification known…
math.AP2016
On the local well-posedness and a Prodi-Serrin type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion
Adam Larios, Yuan Pei
We prove a Prodi-Serrin-type global regularity condition for the three-dimensional Magnetohydrodynamic-Boussinesq system (3D MHD-Boussinesq) without thermal diffusion, in terms of…