From Newton's law to the linear Boltzmann equation 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

(This is easily seen for instance on formula (1.2) in the special case of the radiative transfer equation with isotropic scattering.) At variance with the usual diffusion

In this article we have proved that the solution of the linear transport equation converges in the long time limit to its global equilibrium state at an exponential rate if and only

In this work, we have derived the incompressible Euler equations from the Boltz- mann equation in the case of the initial boundary value problem, for a class of boundary conditions

However, the study of the non-linear Boltzmann equation for soft potentials without cut-off [ 20 ], and in particular the spectral analysis its linearised version (see for instance [

mobility. The effective height shifts downward 5 – 10 km in southern warm season in the South Pacific Ocean. Another effect is observed in the Indian and Atlantic Oceans; the

T HREE MOBILE automatic river quality monitoring stations used by Thames Water to moni- tor pollution problems have been fitted with satellite communication

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