The Boltzmann Equation: In the Trail of Torsten Carleman

May 16 - May 20, 2022

After Boltzmann published his works on the kinetic theory of gases, and the equation that bears his name, in 1872, it took 60 years before T. Carleman gave the first proof of existence of solutions to this equation in a famous paper in Acta Mathematica. Carleman continued his research on this subject ever since, with the results of his investigations appearing in a posthumously edited book with important contributions by Carleson and Frostman in 1957, has been very influential in the subsequent development of the mathematical aspects of kinetic theory of gases. Equally important for the kinetic theory of gases was Leif Arkeryd’s paper from 1972, and his work also marked a new start of kinetic theory in Sweden. It is in celebration of Leif Arkeryd’s 80th birthday that this workshop is taking place.

The Boltzmann equation is a nonlinear integro-differential equation which is very challenging from mathematical point of view. The enormous progress that has been achieved in the past few decades is based on the development of general tools for PDE:s, functional analysis and probability theory, and a careful and innovative use of the particular structure of this equation.

The workshop brings some of the most prominent mathematicians working in this field, some with a long experience and some who are in the beginning of their career.

Seminars Scroll to the next upcoming seminar

  • About the quasilinear approximation for Vlasov equation and related equations May 16 09:00 - 09:50

    About the quasilinear approximation for Vlasov equation and related equations

  • Two-temperature Navier-Stokes equations for a polyatomic gas and their boundary conditions (Online) May 16 09:50 - 10:30

    Two-temperature Navier-Stokes equations for a polyatomic gas and their boundary conditions (Online)

  • Linearized Boltzmann collision operators for multicomponent and polyatomic gases May 16 11:00 - 11:50

    Linearized Boltzmann collision operators for multicomponent and polyatomic gases

  • Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium May 16 13:30 - 14:20

    Optimal non-symmetric Fokker-Planck equation for the convergence to a given equilibrium

  • On Boltzmann type equations and approaches without averaging May 16 14:20 - 15:10

    On Boltzmann type equations and approaches without averaging

  • About equilibrium distributions for Boltzmann-like models (Online) May 16 15:40 - 16:20

    About equilibrium distributions for Boltzmann-like models (Online)

  • About the Lp theory for the non-cutoff Boltzmann equation May 17 09:00 - 09:50

    About the Lp theory for the non-cutoff Boltzmann equation

  • Some recent results on the spatially homogeneous quantum Boltzmann equation (Online) May 17 09:50 - 10:30

    Some recent results on the spatially homogeneous quantum Boltzmann equation (Online)

  • On a system of equations in the kinetic description of a condensed, homogeneous gas of bosons: local existence of re… May 17 11:00 - 11:50

    On a system of equations in the kinetic description of a condensed, homogeneous gas of bosons: local existence of re…

  • On solutions of the Vlasov-Poisson-Landau equations for slowly varying in space initial data May 17 13:30 - 14:20

    On solutions of the Vlasov-Poisson-Landau equations for slowly varying in space initial data

  • On the 2D Peskin problem (Online) May 17 14:20 - 15:00

    On the 2D Peskin problem (Online)

  • Stationary solutions to the Boltzmann equation past an obstacle in the hydrodynamic limit May 17 15:30 - 16:20

    Stationary solutions to the Boltzmann equation past an obstacle in the hydrodynamic limit

  • Quantum kinetic theory of the fermionic Hubbard model (Online) May 18 08:30 - 09:10

    Quantum kinetic theory of the fermionic Hubbard model (Online)

  • On the body size distributions of species. A kinetic approach May 18 09:10 - 09:50

    On the body size distributions of species. A kinetic approach

  • On the oscillatory behaviour of a bimonomeric nonlinear Becker-Döring type model for prion dynamics May 18 10:20 - 11:10

    On the oscillatory behaviour of a bimonomeric nonlinear Becker-Döring type model for prion dynamics

  • Boltzmann’s legacy in optimization and machine learning May 19 09:00 - 09:50

    Boltzmann’s legacy in optimization and machine learning

  • Some considerations on the particle approximation for the BGK model in a bounded domain (Online) May 19 09:50 - 10:30

    Some considerations on the particle approximation for the BGK model in a bounded domain (Online)

  • From the many-body fermionic dynamics to the Vlasov equation with singular interactions May 19 11:00 - 11:50

    From the many-body fermionic dynamics to the Vlasov equation with singular interactions

  • Fokker-Planck Multi-Species Equations in the Adiabatic Asymptotics May 19 13:30 - 14:20

    Fokker-Planck Multi-Species Equations in the Adiabatic Asymptotics

  • Interplay between geometry and topology in models of collective dynamics (Online) May 19 14:50 - 15:30

    Interplay between geometry and topology in models of collective dynamics (Online)

  • Diffusive limit for a Boltzmann-like equation with non-conserved momentum May 19 15:30 - 16:20

    Diffusive limit for a Boltzmann-like equation with non-conserved momentum

  • Partial Regularity in Time for the Landau Equation May 20 09:00 - 09:50

    Partial Regularity in Time for the Landau Equation

  • On the Boltzmann equation modeling a polyatomic gas (Online) May 20 09:50 - 10:30

    On the Boltzmann equation modeling a polyatomic gas (Online)

  • From Boltzmann to Hamilton-Jacobi May 20 11:00 - 11:50

    From Boltzmann to Hamilton-Jacobi

Participants

Name University Country Arrival and Departure
Franz
Achleitner (Online)
University: Technische Universität Wien City: Austria Arrival and Departure: -
Ricardo
Alonso
University: Texas A&M Qatar City: United States Arrival and Departure: -
Håkan
Andreasson
University: Chalmers University of Technology / University of Gothenburg City: Sweden Arrival and Departure: -
Kazuo
Aoki (Online)
University: National Cheng Kung University City: Taiwan Arrival and Departure: -
Leif
Arkeryd
University: Chalmers University of Technology / University of Gothenburg City: Sweden Arrival and Departure: -
Anton
Arnold
University: Vienna University of Technology City: Austria Arrival and Departure: -
Mohammmad
Asadzadeh
University: Chalmers University of Technology / University of Gothenburg City: Sweden Arrival and Departure: -
Jens
Bardarson
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Claude
Bardos
University: Laboratoire JLLions and University of Paris City: France Arrival and Departure: -
Niclas
Bernhoff
University: Karlstad University City: Sweden Arrival and Departure: -
Mirela
Bernhoff (Online)
University: Karlstad University City: Sweden Arrival and Departure: -
Alexander
Bobylev
University: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences City: Russia Arrival and Departure: -
Stéphane
Brull (Online)
University: Institut de Mathématiques de Bordeaux City: France Arrival and Departure: -
Silvia
Caprino (Online)
University: Retired from universita' Tor Vergata Roma City: Italy Arrival and Departure: -
Eric
Carlen
University: Rutgers University City: United States Arrival and Departure: -
Kleber
Carrapatoso Online
University: Ecole Polytechnique City: France Arrival and Departure: -
Frederique
Charles (Online)
University: Sorbonne Université City: France Arrival and Departure: -
I-Kun
Chen (Online)
University: National Taiwan University City: Taiwan Arrival and Departure: -
Pierre
Degond (Online)
University: Institut de Mathématiques de Toulouse City: France Arrival and Departure: -
Laurent
Desvillettes (Online)
University: Université de Paris, IMJ-PRG City: France Arrival and Departure: -
Miguel
Escobedo
University: Universidad del Pais Vasco City: Italy Arrival and Departure: -
Raffaele
Esposito
University: Università dell'Aquila City: Italy Arrival and Departure: -
Josephine
Evans
University: University of Warwick City: United Kingdom Arrival and Departure: -
Klemens
Fellner
University: University of Graz City: Austria Arrival and Departure: -
Francis
Filbet
University: University Toulouse City: France Arrival and Departure: -
Irene M.
Gamba
University: The University of Texas at Austin City: United States Arrival and Departure: -
François
Golse
University: Ecole polytechnique City: France Arrival and Departure: -
Maria Pia
Gualdani
University: The University of Texas at Austin City: United States Arrival and Departure: -
Lingbing
He (Online)
University: Tsinghua University City: China Arrival and Departure: -
Cyril
Imbert (Online)
University: CNRS & ENS City: France Arrival and Departure: -
Pierre-Emmanuel
Jabin (Online)
University: Pennsylvania State University City: United States Arrival and Departure: -
Hung-Wen
Kuo (Online)
University: National Cheng Kung University City: Taiwan Arrival and Departure: -
He
Lingbing
University: Tsinghua University City: China Arrival and Departure: -
Tai Ping
Liu (Online)
University: Stanford University and Academia Sinica, Taipei City: United States / Taiwan Arrival and Departure: -
Bertrand
Lods (Online)
University: University of Turin City: Italy Arrival and Departure: -
Xuguang
Lu Online
University: Tsinghua University City: China Arrival and Departure: -
Jani
Lukkarinen Online
University: University of Helsinki City: Finland Arrival and Departure: -
Rossana
Marra
University: Universita di Roma Tor Vergata City: Italy Arrival and Departure: -
Dawan
Mustafa
University: University of Borås City: Sweden Arrival and Departure: -
Anne
Nouri
University: Université d'Aix-Marseille City: France Arrival and Departure: -
Lorenzo
Pareschi
University: University of Ferrara City: Italy Arrival and Departure: -
Milana
Pavić-Čolić (Online)
University: University of Novi-Sad City: Russia Arrival and Departure: -
Natasa
Pavlovic (Online)
University: University of Texas at Austin City: United States Arrival and Departure: -
Mario
Pulvirenti (Online)
University: Universita di Roma, Sapienza City: Italy Arrival and Departure: -
Chiara
Saffirio
University: University of Basel City: China Arrival and Departure: -
Laure
Saint-Raymond
University: IHES City: France Arrival and Departure: -
Lars
Söderholm
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: -
Robert
Strain (Online)
University: University of Pennsylvania City: United States Arrival and Departure: -
Giuseppe
Toscani
University: University of Pavia City: Italy Arrival and Departure: -
Isabelle
Tristani (Online)
University: Ecole Normale Supérieure, Paris City: France Arrival and Departure: -
Bernt
Wennberg
University: Chalmers University of Technology / University of Gothenburg City: Sweden Arrival and Departure: -
Yosief
Wondmagegne
University: Karlstad University City: Sweden Arrival and Departure: -
Shih-Hsien
Yu (Online)
University: Institute of Mathematics, Academia Sinica, Taipei City: Taiwan Arrival and Departure: -