67 citations · 85 across the 4 of their papers we have counts for
4 papers
Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails
A. V. Bobylev, I. M. Gamba
We consider the Boltzmann equations for mixtures ofMaxwell gases. It is shown that in certain limiting case the equations admit self-similar solutions that can be constructed in ex…
On the self-similar asymptotics for generalized non-linear kinetic Maxwell models
A. V. Bobylev, C. Cercignani, I. M. Gamba
Maxwell models for nonlinear kinetic equations have many applications in physics, dynamics of granular gases, economy, etc. In the present manuscript we consider such models from a…
On the derivation of a high-velocity tail from the Boltzmann-Fokker-Planck equation for shear flow
L. Acedo, A. Santos, A. V. Bobylev
Uniform shear flow is a paradigmatic example of a nonequilibrium fluid state exhibiting non-Newtonian behavior. It is characterized by uniform density and temperature and a linear…
From the Liouville Equation to the Generalized Boltzmann Equation for Magnetotransport in the 2D Lorentz Model
A. V. Bobylev, Alex Hansen, J. Piasecki +1
We consider a system of non-interacting charged particles moving in two dimensions among fixed hard scatterers, and acted upon by a perpendicular magnetic field. Recollisions betwe…