Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Matthias HIEBER & Sylvie MONNIAUX

Non-linear PDEs in Fluid Dynamics
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​EDP non linéaires en dynamique des fluides 
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2022 - semester 1
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RESEARCH SCHOOL
Mathematical Advances in Geophysical Flows (2575)
Avancées mathématiques dans les flux géophysiques

Dates: 4-8 April 2022
Place: CIRM (Marseille Luminy, France)
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TIME SCHEDULE
ABSTRACTS
PARTICIPANTS
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DESCRIPTION
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.


TOPICS OF THIS RESEARCH SCHOOL

To include:

* global regularity and blow up, free boundary value problems for viscous/inviscid compressible/incompressible equations subject to hydrostatic balance, e.g. the primitive equations of ocean and atmospheric dynamics

* dynamics of sea ice models

* multiphysics effects as moisture, vapour, phase transitions, boundary layers and stratification

* smoothing or dispersive effects due to Coriolis forces

* stability analysis

* rigorous justification of the hydrostatic approximation
SCIENTIFIC COMMITTEE
  • Rupert Klein (FU Berlin)
  • Anna Mazzucato (Penn State)
  • Edriss Titi (University of Cambridge)​
ORGANIZING COMMITTEE
  • Raphaël Danchin (UPEC)
  • Matthias Hieber (TU Darmstadt & Aix-Marseille Université)
  • Sylvie Monniaux (​Aix-Marseille Université)
  • ​Charlotte Perrin​ (Aix-Marseille Université)
SPEAKERS / PARTICIPANTS
MINI-COURSES
  • Anne-Laure Dalibard (Sorbonne Université)
  • Rupert Klein (FU Berlin)
  • Edriss Titi (University of Cambridge)​
TALKS
  • Didier Bresch (CNRS, Université Savoie Mont-Blanc)
  • C. Cao, Miami
  • David Gérard-Varet (Université de Paris)
  • Sabine Hittmeir (University of Vienna) 
  • Amru Hussein (TU Kaiserslautern)
  • Rupert Klein (FU Berlin)
  • Peter Korn (Max Plank Institute for Meteorology)
  • Boualem Khouider (University of Victoria)
  • Jinkai Li (South China Normal University)
  • Sam Stechmann (University of Wisconsin-Madison)
  • Ryo Takada (Kyushu University)
  • Roger Temam (Indiana University Bloomington)
  • Edriss Titi (University of Cambridge)​
  • Geoffrey Vallis (University of Exeter)

SPONSORS
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