italianoITA
Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Chief operating officer: Dr.ssa Franca Di Censo


Intranet

Utente:
Password:
Forgot your Password? Please contact the site administrator

  Today’s events 13 dicembre 2017

  • dec 13 wed 2017

    Seminar
    Chiara Saffirio, Validity of the boltzmann equation: how to incorporate long-range effects into a collisional dynamics,  12-13-2017, 15:15 precise
    logo matematica
    • Seminar
    • Chiara Saffirio
    • Universita’ di Zurigo
    • Validity of the boltzmann equation: how to incorporate long-range effects into a collisional dynamics
    • Wednesday, 13 December 2017 at 15:15 right
    • Aula seminari MOX, VI piano
    • Abstract
      After the paper of Lanford in 1975, the short time rigorous derivation of the Boltzmann equation from a system of N particles interacting through a hard-core potential has been fully understood. In recent years, the validity of the Boltzmann equation for short-range interaction potentials has been addressed, while the long-range case is still an open problem. In this talk we will review the known results on the validity of the Boltzmann equation and discuss the instability arising from taking into account the long-range effects in the collisional dynamics by presenting a new approach to this problem.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

  • dec 13 wed 2017

    Seminar
    Alessia Nota, Homoenergetic solutions for the boltzmann equation,  12-13-2017, 16:15
    logo matematica
    • Seminar
    • Alessia Nota
    • Universita’ di Bonn
    • Homoenergetic solutions for the boltzmann equation
    • Wednesday, 13 December 2017 at 16:15
    • Aula seminari MOX, VI piano
    • Abstract
      We consider a particular class of solutions of the Boltzmann equation, known as homoenergetic solutions, which are useful to
      describe the dynamics of Boltzmann gases under shear, expansion or compression in nonequilibrium situations.
      While their well posedness theory has many similarities with the theory of homogeneous solutions of the Boltzmann equation, their
      long time asymptotics differs completely, due to the fact that these solutions describe far from equilibrium phenomena. Indeed,
      the long time asymptotics cannot always be described by Maxwellian distributions. For several collision kernels the asymptotics of
      homoenergetic solutions is given by particle distributions which do not satisfy the detailed balance condition.
      In this talk I will describe different possible long time asymptotics of homoenergetic solutions of the Boltzmann equation, as
      well as some open problems in this direction. (This is a joint work with R.D.James and J.J.L.Velázquez).
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

Innovative Teaching

Workshops
Seminars
Courses

Mathematical Engineering
Educational Program

PhD School
Mathematical Models and Methods in Engineering

AIM Associazione degli Ingegneri Matematici
AIM
Associazione degli
Ingegneri Matematici