3 papers
math.AP2016
On a linear runs and tumbles equation
S Mischler, Q Weng
We consider a linear runs and tumbles equation in dimension d 1 for which we establish the existence of a unique positive and normalized steady state as well as its asymptoti…
math.AP2015
The Fokker-Planck equation with subcritical confinement force
Otared Kavian, Stéphane Mischler, Mamadou Ndao
We consider the Fokker-Planck equation with subcritical confinement force field which may not derive from a potential function. We prove the existence of an equilibrium (in the cas…
math.AP2015
Uniform semigroup spectral analysis of the discrete, fractional \& classical Fokker-Planck equations
Stéphane Mischler, Isabelle Tristani
In this paper, we investigate the spectral analysis (from the point of view of semi-groups) of discrete, fractional and classical Fokker-Planck equations. Discrete and fractional F…