Special Session 136: Analysis and Applications of the Boltzmann equation

Thermalization rate for solutions to the Landau-Fermi-Dirac equation
Ricardo Alonso
Texas A&M
USA
Co-Author(s):    V. Bagland, L. Desvillettes, B. Lods
Abstract:
In this talk we discuss the essential properties of the LFD equation with focus on the thermal convergence of solutions to the Fermi Dirac distribution for moderately soft potentials. The key point of the analysis, valid only under a weak saturation regime, is to obtain estimates free of the Planck`s quantum parameter. Using such estimates, algebraic rate of convergence is obtained after applying a recent entropy - entropy dissipation inequality for the equation.