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math-ph2013★ 1 cited
Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels
Emanuele Dolera
This paper proves the existence of weak solutions to the spatially homogeneous Boltzmann equation for Maxwellian molecules, when the initial data are chosen from the space of all B…
math-ph2012★ 3 cited
Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions
Emanuele Dolera, Eugenio Regazzini
The present work provides a definitive answer to the problem of quantifying relaxation to equilibrium of the solution to the spatially homogeneous Boltzmann equation for Maxwellian…
math-ph2012
Spatially homogeneous Maxwellian molecules in a neighborhood of the equilibrium
Emanuele Dolera
This note deals with the long-time behavior of the solution to the spatially homogeneous Boltzmann equation for Maxwellian molecules, when the initial datum belongs to a suitable n…