206 citations · 1.1k across the 65 of their papers we have counts for
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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…
Relaxation rate, diffusion approximation and Fick's law for inelastic scattering Boltzmann models
Bertrand Lods, Clément Mouhot, Giuseppe Toscani
We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified model of Maxwell molecules first, w…
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…