Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off

Nauk SSSR Ser. Regularity for solutions of non local parabolic equations. R´ egularit´ e et compacit´ e pour des noyaux de collision de Boltzmann sans troncature angulaire. In

The rest of the paper is arranged as follows: In Section 2, we introduce the spectral ana- lysis of the linear and nonlinear Boltzmann operators, and transform the nonlinear

Furthermore, we apply the similar analytic technique for the Sobolev space regularity to the nonlinear equation, and prove the smoothing property of solutions for the

If we compare the present work to our similar result for the Kac equation, another difficulty is the fact that we treat the case of soft and Coulomb potentials (γ ∈ [−3, 0)) instead

Hydrodynamic limit, Boltzmann equation, Hard cutoff poten- tial, Incompressible Navier-Stokes equations, Renormalized solutions, Leray

[1] Fredrik Abrahamsson. Strong L 1 convergence to equilibrium without entropy conditions for the Boltzmann equation. Entropy dissipation and long-range interactions. The

Convergence to equilibrium for linear spatially ho- mogeneous Boltzmann equation with hard and soft potentials: a semigroup approach in L 1 -spaces... We investigate the large

Keywords: Boltzmann equation; spatially homogeneous; hard potentials; measure solutions; equilibrium; exponential rate of convergence; eternal solution; global-in-time