We show, for a particular collision kernel, that the entropy tends to its equilibrium limit for all solutions of the spatially homogeneous Boltzmann equation with finite energy, finite entropy initial data. This verifies the natural conjecture following from the Boltzmann H-theorem. All previous results in this direction placed additional restrictions on the initial data beyond the physical ones considered here.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics