To participate in this seminar, please register here: https://www.msri.org/seminars/25657
A classical subject in the mathematical theory of hydrodynamics consists in studying the evolution of the free surface separating the air from a perfect incompressible fluid. We will examine this problem for two important sets of equations: the water wave equations and the Hele-Shaw equations, including the Muskat problem. They are of different nature, dispersive versus parabolic, but we will see that they can be studied by related tools.
These courses are intended for graduate students with a general interest in analysis and no prerequisites about any advanced theory is required. A large part of the courses will consist of short self-contained introductions to the following topics: Paradifferential calculus, the fractional Laplacian and the multiplier methods of Morawetz and Lions. These lectures also aim to give a self-contained introduction to certain aspects at the cutting edge of research. I will give a detailed analysis of the Cauchy problem for the water wave, Hele-Shaw and Muskat equations.Updated on Apr 08, 2021 02:37 PM PDT
To participate in this seminar, please register here: https://www.msri.org/seminars/25657Updated on Jan 22, 2021 09:27 AM PST
To participate in this seminar, please register here: https://www.msri.org/seminars/25657Updated on Feb 18, 2021 03:18 PM PST
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