Université Paris Diderot

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Université Paris Descartes

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Workshop on kinetic and fluid Partial Differential Equations

Univ. Paris Descartes, Wednesday 7th March 2018

Univ. Paris Diderot, Thursday 8th March and Friday 9th March 2018

Organization and Scientific Committee : Xavier BLANC (Univ. Paris Diderot, LJLL), Laurent DESVILLETTES (Univ. Paris Diderot, IMJ-PRG), Isabelle GALLAGHER (ENS Ulm, DMA), David GÉRARD-VARET (Univ. Paris Diderot, IMJ-PRG), Nicolas LERNER (UPMC, IMJ-PRG), Sébastien MARTIN (Univ. Paris Descartes, MAP5)

Invited Speakers

- Claude Bardos, (Univ. Paris Diderot) : The Kolmogorov 1/3 Law, the Onsager Conjecture and the Kato Criteria for zero viscosity limit
- Jacob Bedrossian, (Univ. Maryland, US) : Landau damping and nonlinear echoes

- Marc Briant, (Univ. Paris Descartes, France) : From Boltzmann to Incompressible Navier-Stokes : Hydrodynamical Limits and Speed of Convergence

- Michael Goldman, (CNRS & Univ. Paris Diderot, France) : A variational approach to regularity theory for the Monge-Ampere equation

- Bérénice Grec, (Univ. Paris Descartes, France) : Diffusion models for mixtures using a stiff dissipative hyperbolic formalism

- Piotr Gwiazda, (Polish Academy of Sciences, Poland) : Dissipative measure valued solutions for general hyperbolic conservation laws
- Frédéric Hérau, (Univ. Nantes, France) : Hypocoercive schemes for the discrete Fokker-Planck equation

- Shi Jin, (Wisconsin University, USA) : Stochastic Asymptotic-Preserving Schemes and Hypocoercivity Based Sensitivity Analysis for Multiscale Kinetic Equations with Random Inputs

- Clément Mouhot, (Univ. Cambridge, UK) : Well-posedness of a toy nonlinear model in kinetic theory

- Sarka Necasova, (Institute of Mathematics AS CR, Czech Republic) : Viscous compressible fluids in time dependent domain

- Charlotte Perrin, (Univ. d'Aix-Marseille, France) : Macroscopic systems with maximum packing constraint

- Mario Pulvirenti, (Università degli Studi dell'Aquila, Italy) : Propagation of chaos for a model with topological interaction

- Michael Renardy, (Virginia Tech., US) : On controllability of linear viscoelastic flows

- José Luis Rodrigo, (Univ. Warwick, UK) : Smooth Solutions to a family of Prandtl-like solutions arising from fluid mechanics (cancelled)
- Laure Saint-Raymond, (ENS Lyon, France) : Internal waves in a domain with topography

- Sergio Simonella, (CNRS & ENS Lyon, France) : Size of chaos in collisional dynamics

- Agnieszka Swierczewska-Gwiazda, (Univ. Warsaw, Poland) : Energy conservation for some compressible fluid models
- Isabelle Tristani, (CNRS & ENS Ulm, France) : On linear Fokker-Planck equations

- Juan Velazquez, (Univ. Bonn, Germany) : Long time asymptotics of homoenergetic solutions for the Boltzmann equation

- Tong Yang, (City Univ. Hong-Kong, Hong-Kong) : Some Mathematical Theories of MHD Boundary Layers


On Wednesday 7th March 2018, the meeting will be held in the Salle du conseil, at Centre Universitaire  des Saints-Pères (CUSP), 45 rue des Saints-Pères, Paris 6th  arrondissement.

On Thursday 8th March and Friday 9th March 2018, the meeting will be held at Amphitheater Turing, Building Sophie Germain, 8 Place Aurélie Nemours, Paris 13th arrondissement.


Registration to the workshop is free but mandatory. It can be done by sending an email to laurent.desvillettes@math.univ-paris-diderot.fr

Presentation of the Workshop

Kinetic theory enables to model many physical situations, such as rarefied gases, semiconductors, or plasmas. Some of the most famous equations appearing in this theory are the Boltzmann equation and the Vlasov equation. These equations are naturally linked to the main models of fluid mechanics, that is the Euler and Navier-Stokes equations. The most important link appears in the Hilbert expansion and Chapman-Enskog asymptotics, where the Knudsen number is assumed to tend to 0, and the solutions of the macroscopic equations appear as limits or expansions of the solutions of the Boltzmann equation. Some other links appear for example in the theory of sprays, where fluid equations are coupled to kinetic equations.

The workshop will be devoted to to the presentation of some of the latest improvements in the mathematical theory of kinetic and fluid equations. Modeling and numerical issues will be discussed, as well as theoretical developments arising from the theory of PDEs and nonlinear analysis.

Last update: Feb. 9th 2018