Elliptic and Parabolic Equations - Abstract

Druet, Pierre-Etienne

Div-curl inequalities in nonsmooth domains: Some consequences of recent advances in regularity theory.

In the talk, we discuss the possibility to estimate a three-dimensional vector field by its divergence and its curl in a weaker norm. Thanks to recent progresses in regularity theory, we can allow for the case that these operators are perturbed by nonsmooth coefficients. We present a relevant application in the field of magnetohydrodynamics.