Abstract. We obtain equilibration rates for nonlinear Fokker-Planck equa-tions modelling the relaxation of fermions and bosons gases. We show how the entropy method applies to quantify explicitly the exponential decay towards Fermi-Dirac and Bose-Einstein distributions in the one dimensional case. 1
In this paper, we study a Fokker-Planck equation of the form u_t = I [u ] + div (x u) where the ope...
The non-linear Fokker-Planck equation or Kolmogorov forward equation is currently successfully appli...
We obtain equilibration rates for a one-dimensional nonlocal Fokker–Planck equation with time-depend...
AbstractWe obtain equilibration rates for nonlinear Fokker–Planck equations modelling the relaxation...
International audienceA Fokker-Planck type equation for interacting particles with exclusion princip...
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fu...
The present study extends the correspondence principle of Martinez et al. that establishes a link be...
A recently introduced nonlinear Fokker-Planck equation, derived directly from a master equation, com...
The entropy time rate of systems described by nonlinear Fokker-Planck equations-which are directly r...
A nonlinear diffusion equation is proposed to account for thermalization in fermionic and bosonic sy...
In this paper we study the large time behavior of a fully implicit semi-discretization (in time) of ...
AbstractA Fokker–Planck type equation for interacting particles with exclusion principle is analyzed...
In correspondence to conventional thermostatistics we formulate an H-theorem showing that transients...
International audienceThis paper is devoted to ϕ-entropies applied to Fokker-Planck and kinetic Fokk...
Motivated by modeling transport processes in the growth of neurons, we present results on (nonlinear...
In this paper, we study a Fokker-Planck equation of the form u_t = I [u ] + div (x u) where the ope...
The non-linear Fokker-Planck equation or Kolmogorov forward equation is currently successfully appli...
We obtain equilibration rates for a one-dimensional nonlocal Fokker–Planck equation with time-depend...
AbstractWe obtain equilibration rates for nonlinear Fokker–Planck equations modelling the relaxation...
International audienceA Fokker-Planck type equation for interacting particles with exclusion princip...
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fu...
The present study extends the correspondence principle of Martinez et al. that establishes a link be...
A recently introduced nonlinear Fokker-Planck equation, derived directly from a master equation, com...
The entropy time rate of systems described by nonlinear Fokker-Planck equations-which are directly r...
A nonlinear diffusion equation is proposed to account for thermalization in fermionic and bosonic sy...
In this paper we study the large time behavior of a fully implicit semi-discretization (in time) of ...
AbstractA Fokker–Planck type equation for interacting particles with exclusion principle is analyzed...
In correspondence to conventional thermostatistics we formulate an H-theorem showing that transients...
International audienceThis paper is devoted to ϕ-entropies applied to Fokker-Planck and kinetic Fokk...
Motivated by modeling transport processes in the growth of neurons, we present results on (nonlinear...
In this paper, we study a Fokker-Planck equation of the form u_t = I [u ] + div (x u) where the ope...
The non-linear Fokker-Planck equation or Kolmogorov forward equation is currently successfully appli...
We obtain equilibration rates for a one-dimensional nonlocal Fokker–Planck equation with time-depend...