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.

Conference schedule