Electromagnetics - Modelling, Simulation, Control and Industrial Applications - Abstract

Druet, Pierre-Etienne

Some results on distributional solvability vs. higher regularity of the fields in low-frequency electromagnetics

We start from a nonlinear pde-system used in crystal growth from the melt to model the heat transfer and its interaction with melt flow and applied magnetic fields in a complex high-temperatures apparatus. After briefly mentioning some theoretical issues concerning the distributional solution to this system, we develop in more extent on sufficient conditions for the higher regularity of the electromagnetic fields that solve the low-frequency version of Maxwell's equations in similar contexts.