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conference
26/06/2023 30/06/2023

Shocking Developments: New Directions in Compressible and Incompressible Flows

Our vision for this conference is to bring together experts in the mathematical theory of compressible and incompressible flows, with an emphasis on recent new ideas and directions. We are inviting speakers with diverse interests, including shock structure, kinetic theory and hydrodynamic limits, global well-posedness and long-time behavior, singular and inviscid limits, convex integration and non-uniqueness, kinetic formulations of conservation laws, collective behavior and biological systems, and numerical methods. These topics only partially reflect the diverse interests of our colleague, mentor, and friend, Alexis Vasseur, whose contributions, mathematical or otherwise, we recognize in his 50th birthday conference.

 

***

 

Hyperbolic systems of conservation laws,

Guiding the flow of energy and matter,

Allowing for change and evolution,

But never letting things shatter.

 

From the smallest particles to the grandest galaxies,

These laws hold sway,

Ensuring that the universe remains in harmony,

And never fades away.

 

We gather then today to celebrate,

Alexis Vasseur's greatest results to date,

For he does not verify conservation,

Nor is he bound by an equation.

 

Indeed, can you hear the thunder?

As open problems,

Are torn asunder.

 

***

 

Please find the recorded talks here:

www.youtube.com/playlist

Speakers

Yann Brenier

Université Paris-Saclay, France

Gui-Qiang Chen

University of Oxford, United Kingdom

Geng Chen

University of Kansas, USA

Peter Constantin

Princeton University, USA

Raphaël Danchin

University Paris-Est Créteil Val-de-Marne, France

Laurent Desvillettes

Université Paris Cité, France

Alessio Figalli

ETH Zurich, Switzerland

François Golse

École polytechnique, France

Thierry Goudon

Inria at Université Côte d'Azur, France

Maria Gualdani

The University of Texas at Austin, USA

Cyril Imbert

CNRS & École normale supérieure (Paris), France

Pierre-Emmanuel Jabin

Pennsylvania State University, USA

Moon-Jin Kang

KAIST, South Korea

Alexander Kiselev

Duke University, USA

Ingrid Lacroix-Violet

Université de Lorraine, Institut Elie Cartan de Lorraine, France

Matthew Novack

Purdue University, USA

Laurel Ohm

Princeton University, USA

Felix Otto

Max Planck Institute for Mathematics in the Sciences, Germany

Denis Serre

École normale supérieure de Lyon, France

Roman Shvydkoy

University of Illinois at Chicago, USA

Luis Silvestre

University of Chicago, USA

Misha Vishik

The University of Texas at Austin, USA

Dehua Wang

University of Pittsburgh, USA

Program

09:00 - 09:10
09:10 - 09:15
09:15 - 10:15 Yann Brenier (Université Paris-Saclay, France)
Recovery of hyperbolic conservation laws by space-time optimization
10:15 - 10:45
10:45 - 11:45 Gui-Qiang Chen (University of Oxford, United Kingdom)
Cavitation and Concentration in the Solutions of the Compressible Euler Equations and Related Nonlinear PDEs in Fluid Dynamics
11:45 - 13:45
13:45 - 14:45 Maria Gualdani (The University of Texas at Austin, USA)
Recent results on the spatial homogenous Landau equation
14:45 - 15:00
15:00 - 16:00 Cyril Imbert (CNRS & École normale supérieure (Paris), France)
Local regularity for the Landau-Coulomb equation
16:00 - 17:00
17:00 - 18:00 François Golse (École polytechnique, France)
Observability in Quantum Dynamics: an Optimal Transport Approach (in collaboration with Thierry Paul)
09:00 - 09:15
09:15 - 10:15 Denis Serre (École normale supérieure de Lyon, France)
Further a priori estimates in Gas Dynamics through Compensated Integrability
10:15 - 10:45
10:45 - 11:45 Ingrid Lacroix-Violet (Université de Lorraine, Institut Elie Cartan de Lorraine, France)
Some results about the quantum Navier-Stokes model
11:45 - 13:45
13:45 - 14:45 Alexander Kiselev (Duke University, USA)
Suppression of chemotactic singularity by buoyancy
14:45 - 15:00
15:00 - 16:00 Matthew Novack (Purdue University, USA)
The strong Onsager conjecture
16:00 - 16:30
16:30 - 17:30 Roman Shvydkoy (University of Illinois at Chicago, USA)
Generic alignment conjecture and the problem of emergence of collective behavior
09:00 - 09:15
09:15 - 10:15 Misha Vishik (The University of Texas at Austin, USA)
Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid
10:15 - 10:30
10:30 - 11:00
11:00 - 12:00 Alessio Figalli (ETH Zurich, Switzerland)
Free boundary regularity for the obstacle problem
12:00 - 13:45
13:45 - 14:45 Luis Silvestre (University of Chicago, USA)
Conditional upper bounds for the Boltzmann equation in bounded domains
14:45 - 15:00
15:00 - 16:00 Raphaël Danchin (University Paris-Est Créteil Val-de-Marne, Créteil, France)
Global well-posedness for the two-dimensional incompressible and inhomogeneous Navier-Stokes equations with rough density via dynamic interpolation
16:00 - 00:00
19:30 - 00:00
09:00 - 09:15
09:15 - 10:15 Pierre-Emmanuel Jabin (Pennsylvania State University, USA)
The mean-field limit of non-exchangeable integrate and fire systems
10:15 - 10:45
10:45 - 11:45 Thierry Goudon (Inria at Université Côte d'Azur, France)
A well balanced scheme on staggered grids
11:45 - 13:45
13:45 - 14:45 Laurel Ohm (Princeton University, USA)
PDE problems in thin filament hydrodynamics
14:45 - 15:00
15:00 - 16:00 Peter Constantin (Princeton University, USA)
Regularity and Turbulence
16:00 - 16:30
09:00 - 09:15
09:15 - 10:15 Geng Chen (University of Kansas, USA)
The L2 theory for compressible Euler equations and vanishing viscosity limit from Navier-Stokes equations
10:15 - 10:45
10:45 - 11:45 Moon-Jin Kang (KAIST, South Korea)
Stability of small BV solutions to compressible Euler system in the class of inviscid limits from Navier-Stokes
11:45 - 13:45
13:45 - 14:45 Dehua Wang (University of Pittsburgh, USA)
Euler equations and transonic flows
14:45 - 15:00
15:00 - 16:00 Laurent Desvillettes (Université Paris Cité, France)
Some remarks about the Landau equation
16:00 - 16:30
16:30 - 17:30 Felix Otto (Max Planck Institute for Mathematics in the Sciences, Germany)
Convection-enhanced diffusion in a critical case
17:30 - 17:35

Participants

Dallas Albritton

Princeton University

Paulo Elpidio Alves Sampaio

École Polytechnique

Philippe Anjolras

École normale supérieure (Paris)

Bekarys Bekmaganbetov

Brown University

Théo Belin

CentraleSupelec

Immanuel Ben Porat

University of Oxford

Paul Blochas

Université de Rennes

Yann Brenier

Université Paris-Saclay

Giovanni Brigati

CEREMADE - University Paris-Dauphine

Patrick Brkic

Ulm University

Lucas Broux

Max Planck Institute for Mathematics in the Sciences

Jan Burczak

Universität Leipzig

Sebastian Bürger

Leipzig University

Jorge Cardona

Friedrich Schiller University Jena

Gui-Qiang Chen

University of Oxford

Geng Chen

University of Kansas

Zhe Chen

Sorbonne University

Jeffrey Cheng

The University of Texas at Austin

Alexander Cliffe

University of Oxford

Peter Constantin

Princeton University

Raphaël Danchin

University Paris-Est Créteil Val-de-Marne

Maha Daoud

Hassan II University of Casablanca

Luigi De Rosa

University of Basel

Giacomo Del Nin

Max Planck Institute for Mathematics in the Sciences

Kevin Dembski

Duke University

Josef Demmel

Universität Ulm

Laurent Desvillettes

Université Paris Cité

John Faile

The University of Texas at Austin

Antonio Farah

The University of Texas at Austin

Alessio Figalli

ETH Zurich

Joshua Joseph George

Max Planck Institute for Dynamics of Complex Technical Systems

Hans-Peter Gittel

University of Leipzig

William Golding

University of Texas at Austin

François Golse

École polytechnique

Thierry Goudon

Inria at Université Côte d'Azur

Hezekiah Grayer II

Princeton University

Maria Gualdani

The University of Texas at Austin

Lukas Hauger

Max Planck Institute for Mathematics in the Sciences

Jonas Hirsch

Universität Leipzig

Katharina Hopf

WIAS Berlin

Yiran Hu

University of Texas at Austin

Cyril Imbert

CNRS & École normale supérieure (Paris)

Pierre-Emmanuel Jabin

Pennsylvania State University

Sehyun Ji

University of Chicago

Tianyu Jin

The Hong Kong University of Science and Technology

Konstantin Kalinin

Max Planck Institute for Mathematics in the Sciences

Moon-Jin Kang

KAIST

Alexander Kiselev

Duke University

Dowan Koo

Yonsei University

Axel Kroener

Martin-Luther-Universitaet Halle-Wittenberg

Sam G. Krupa

Max Planck Institute for Mathematics in the Sciences

Ingrid Lacroix-Violet

Université de Lorraine, Institut Elie Cartan de Lorraine

Laurent Lafleche

Institut Camille Jordan, Université Claude Bernard Lyon 1

David Lee

Massachusetts Institute of Technology

Woojae Lee

Yonsei University

Yadong Liu

Universität Regensburg

Amélie Loher

University of Cambridge

Shi-Zhuo Looi

Caltech

Vaclav Macha

Institute of Mathematics of the Czech Academy of Sciences

Emmanuel Maître

GRENOBLE INP - UGA

Jiayun Meng

The University of Texas at Austin

Francisco Mengual

Max Planck Institute for Mathematics in the Sciences

Jochen Merker

HTWK Leipzig

David Meyer

University of Münster

Nimra Muqaddass

University of Palermo

Mickaël Nahon

Max Planck Institute for Mathematics in the Sciences

Lukas Niebel

University of Münster

Florent Noisette

Université de Bordeaux

Matthew Novack

Purdue University

Laurel Ohm

Princeton University

Florian Oschmann

Czech Academy of Sciences

Felix Otto

Max Planck Institute for Mathematics in the Sciences

Iuliia Petrova

Pontifical Catholic University of Rio de Janeiro - PUC-Rio

Annalaura Rebucci

Max Planck Institute for Mathematics in the Sciences

Tobias Ried

Max Planck Institute for Mathematics in the Sciences

Sandra Ried

Leipzig University

Stefan Schiffer

Max-Planck-Institute for Mathematics in the Sciences

Benjamin Seeger

University of Texas at Austin

Denis Serre

École normale supérieure de Lyon

Akram Sharif

TU Dresden/Leipzig University

Yannan Shen

University of Kansis

Timofei Shilkin

Max Planck Institute for Mathematics in the Sciences

Roman Shvydkoy

University of Illinois at Chicago

Luis Silvestre

University of Chicago

Majed Sofiani

University of Kansas

Logan Stokols

Duke University

László Székelyhidi

Max Planck Institute for Mathematics in the Sciences

Adrien Tendani Soler

University of Bordeaux

Riccardo Tione

Max Planck Institute for Mathematics in the Sciences

Alexis Vasseur

The University of Texas at Austin

Misha Vishik

The University of Texas at Austin

Dehua Wang

University of Pittsburgh

Stephen J. Watson

University of Glasgow

Aric Wheeler

Indiana University

Emil Wiedemann

Universität Erlangen-Nürnberg

Bian Wu

Max Planck Institute for Mathematics in the Sciences

Dominic Wynter

University of Cambridge

Jincheng Yang

University of Chicago

Dongxiao Yu

University of Bonn

Rico Zacher

Ulm University

Yuzhe Zhu

University of Cambridge

Martina Zizza

SISSA

Giulio Zucal

Max Planck Institute for Mathematics in the Sciences

Scientific Organizers

Dallas Albritton

Princeton University

Sam G. Krupa

Max Planck Institute for Mathematics in the Sciences, Leipzig

László Székelyhidi

Max Planck Institute for Mathematics in the Sciences, Leipzig

Administrative Contact

Anne Dornfeld

Max Planck Institute for Mathematics in the Sciences Contact via Mail