Modeling Materials and Fluids using Variational Methods - Abstract

Feireisl, Eduard

Relative energies and problems of stability in fluid dynamics

We develop the concept of Dafermos' relative entropy/energy in the context of fluid dynamics, in particular, for compressible viscous fluids. We discuss possible applications of the method to various problems: Flows in thin channels, weak-strong uniqueness, singular limits, stochastic perturbations and/or convergence of numerical schemes.