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Seminar

Water waves and other interface problems (Part 1): Entropies of free surface flows in fluid dynamics May 18, 2021 (08:00 AM PDT - 09:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Thomas Alazard (Ecole Normale Supérieure Paris-Saclay; Centre National de la Recherche Scientifique (CNRS))
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Video

Entropies of Free Surface Flows in Fluid Dynamics

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: 

I will discuss recent works with Didier Bresch, Nicolas Meunier and Didier Smets about the dynamics of a free surface transported by an incompressible flow obeying Darcy’s law. I will consider the Hele-Shaw and Mullins-Sekerka equations, as well as the thin-film and Boussinesq equations. For these equations, I will present monotonicity properties of different natures : maximum principles, Lyapunov functionals and entropies. The analysis is based on exact identities which in turn allow to study the Cauchy problem for classical solutions in any subcritical Sobolev spaces. 

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Entropies of Free Surface Flows in Fluid Dynamics