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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.AP2023
Calmed 3D Navier-Stokes Equations: Global Well-Posedness, Energy Identities, Global Attractors, and Convergence
Matthew Enlow, Adam Larios, Jiahong Wu
We propose a modification to the nonlinear term of the three-dimensional incompressible Navier-Stokes equations (NSE) in either advective or rotational form which "calms" the syste…
math.AP2023
Algebraic calming for the 2D Kuramoto-Sivashinsky equations
Matthew Enlow, Adam Larios, Jiahong Wu
We propose an approximate model for the 2D Kuramoto-Sivashinsky equations (KSE) of flame fronts and crystal growth. We prove that this new ``calmed'' version of the KSE is globally…