3 papers
math.AP2008
Strong Convergence towards self-similarity for one-dimensional dissipative Maxwell models
G. Furioli, A. Pulvirenti, E. Terraneo +1
We prove the propagation of regularity, uniformly in time, for the scaled solutions of one-dimensional dissipative Maxwell models. This result together with the weak convergence to…
math.AP2008
Over-populated Tails for conservative-in-the-mean Inelastic Maxwell Models
José Antonio Carrillo, Stéphane Cordier, Giuseppe Toscani
We introduce and discuss spatially homogeneous Maxwell-type models of the nonlinear Boltzmann equation undergoing binary collisions with a random component. The random contribution…
cond-mat.soft2004
Long time behavior of non-autonomous Fokker-Planck equations and the cooling of granular gases
Bertrand Lods, Giuseppe Toscani
We analyze the asymptotic behavior of linear Fokker-Planck equations with time-dependent coefficients. Relaxation towards a Maxwellian distribution with time-dependent temperature…