AbstractWe obtain equilibration rates for nonlinear Fokker–Planck equations modelling the relaxation of fermion and boson gases. We show how the entropy method applies for quantifying explicitly the exponential decay towards Fermi–Dirac and Bose–Einstein distributions in the one-dimensional case
We consider a system of $N$ bosons interacting through a singular two-body potential scaling with N ...
This paper studies convergence to equilibrium for the spatially inhomogeneous linear relaxation Bolt...
Classical statistical mechanics has long relied on assumptions such as the equipartition theorem to ...
Abstract. We obtain equilibration rates for nonlinear Fokker-Planck equa-tions modelling the relaxat...
AbstractA Fokker–Planck type equation for interacting particles with exclusion principle is analyzed...
In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation ...
Kaniadakis and Quarati (1994) proposed a Fokker–Planck equation with quadratic drift as a PDE model ...
A nonlinear diffusion equation is proposed to account for thermalization in fermionic and bosonic sy...
We consider an approximation of the linearised equation of the homogeneous Boltzmann equation that d...
We linearize the Uehling-Uhlenbeck equation for bosonic gases close to thermal equilibrium under the...
AbstractIn this work, we show how the entropy method enables to get in an elementary way (and withou...
We consider a class of Fokker–Planck equations with linear diffusion and superlinear drift enjoying ...
We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Ma...
This is the text of a Laurent Schwartz X-EDP seminar I gave in November 2014. It summarizes some of ...
AbstractThe Fokker–Planck equation is studied through its relation to a Schrödinger-type equation. T...
We consider a system of $N$ bosons interacting through a singular two-body potential scaling with N ...
This paper studies convergence to equilibrium for the spatially inhomogeneous linear relaxation Bolt...
Classical statistical mechanics has long relied on assumptions such as the equipartition theorem to ...
Abstract. We obtain equilibration rates for nonlinear Fokker-Planck equa-tions modelling the relaxat...
AbstractA Fokker–Planck type equation for interacting particles with exclusion principle is analyzed...
In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation ...
Kaniadakis and Quarati (1994) proposed a Fokker–Planck equation with quadratic drift as a PDE model ...
A nonlinear diffusion equation is proposed to account for thermalization in fermionic and bosonic sy...
We consider an approximation of the linearised equation of the homogeneous Boltzmann equation that d...
We linearize the Uehling-Uhlenbeck equation for bosonic gases close to thermal equilibrium under the...
AbstractIn this work, we show how the entropy method enables to get in an elementary way (and withou...
We consider a class of Fokker–Planck equations with linear diffusion and superlinear drift enjoying ...
We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Ma...
This is the text of a Laurent Schwartz X-EDP seminar I gave in November 2014. It summarizes some of ...
AbstractThe Fokker–Planck equation is studied through its relation to a Schrödinger-type equation. T...
We consider a system of $N$ bosons interacting through a singular two-body potential scaling with N ...
This paper studies convergence to equilibrium for the spatially inhomogeneous linear relaxation Bolt...
Classical statistical mechanics has long relied on assumptions such as the equipartition theorem to ...