New a priori estimates for the spatially homogeneous Boltzmann equation
Abstract
Given the solutionf(t) to the spatially homogeneous Boltzmann equation, we study the time evolution of the Linnik's functionalJ(f(t)). When the Boltzmann equation for Maxwellian pseudomolecules with planar velocities is considered, it is proven thatJ(f(t)) is decreasing in time.
 Publication:

Continuum Mechanics and Thermodynamics
 Pub Date:
 May 1992
 DOI:
 10.1007/BF01125691
 Bibcode:
 1992CMT.....4...81T
 Keywords:

 Boltzmann Distribution;
 Kinetic Theory;
 Monatomic Gases;
 Rarefied Gases;
 Atomic Collisions;
 Boltzmann Transport Equation;
 Distribution Functions;
 Homogeneity;
 Thermodynamics and Statistical Physics;
 Time Evolution;
 Boltzmann Equation;
 Planar Velocity;
 Homogeneous Boltzmann Equation