Dr. Stanley Snelson
(Florida Institute of Technology)
Title: Recent progress on the well-posedness theory of the Boltzmann equation
Abstract: The non-cutoff Boltzmann equation is a fundamental kinetic model in thermal and statistical physics. Mathematically, it features the interaction of transport with nonlocal, nonlinear diffusion. In this talk, after introducing the model, we will discuss some current research trends that are partly motivated by the difficult open problem of global existence for large initial data. The second half of the talk will focus on a recent result (obtained in collaboration with C. Henderson and A. Tarfulea) that constructs local classical solutions with initial data that is very general in terms of regularity, decay, and the presence of vacuum regions.
Read More