Seminario Análisis y EDPs

Homoenergetic solutions of the Boltzmann equation

Ponente:  Juan J. L. Velázquez ( Institute for Applied Mathematics, University of Bonn)
Fecha:  miércoles 02 de junio de 2021 - 15:00
Lugar:  Online - Info:

In this talk I will discuss the properties of a class of solutions of the Boltzmann equation, the so-called homoenergetic solutions which were introduced by Galkin and Truesdell in the 1960’s. These solutions are a particular type of non-equilibrium solutions of the Boltzmann equation. One of their most relevant properties as that they do not behave asymptotically as Maxwellian distributions for long times, at least for all the choices of the collision kernels. The current knowledge about the long time behaviour of the homoenergetic solutions as well as some conjectures and open problems will be discussed.