Partially dissipative hyperbolic system, results and perspectives

Partially dissipative hyperbolic system, results and perspectives

Last week, April 4th-8th, 2022 Timothée Crin-Barat Postdoctoral researcher at DeustoCCM Chair of Computational Mathematics at University of Deusto talked on “Partially dissipative hyperbolic system, results and perspectives” at the research school “Mathematical Advances in Geophysical Flows (2575)” at CIRM, Marseille Luminy, France.

This research school focuses on the mathematical study and analysis of geophysical fluid models. As in the case of the Navier-Stokes equations, many of these models still lack, however, basic understanding concerning global existence and existence of smooth solutions. In ocean and atmospheric dynamics, and also in the theory of boundary layers, one is hence investigating often reduced simplified models, whose derivations are based on formal procedures, some of which are not systematic and calling for rigorous validation at the relevant temporal scales.

In this research school, mini-courses and talks by leading experts will be combined with presentations of recent results of PhD students and postdocs to foster further dialogue and collaboration.

Slides