Convergence to self-similar solutions for the homogeneous Boltzmann equation
Convergence to self-similar solutions for the homogeneous Boltzmann equation
The Boltzmann H-theorem implies that the solution to the Boltzmann equation tends to an equilibrium, that is, a Maxwellian when time tends to infinity. This has been proved in varies settings when the initial energy is finite. However, when the initial energy is infinite, the time asymptotic state is no …