A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and …

New weak and strong existence and weak and strong uniqueness results for the solutions of
multi-dimensional stochastic McKean–Vlasov equation are established under relaxed …

The purpose of this book is to present typical methods (including rescaling methods) for the
examination of the behavior of solutions of nonlinear partial di? erential equations of di …

We study the existence and the uniqueness of the solution to a class of Fokker–Planck type
equations with irregular coefficients, more precisely with coefficients in Sobolev spaces W 1 …

We consider the mean-field limit of systems of particles with singular interactions of the type−
log| x| or| x|− s, with 0< s< d− 2, and with an additive noise in dimensions d≥ 3. We use a …

Th i S p ap erst ud i es then O nstati O nary flowofavisco us in CO mp re SS iblefluidin pº
when the initial vo rtici ty is very si ngu l ar. Th e gO V erni ng e qua ti O ns O f mo tion ar ethe …

Both experimental and numerical studies of fluid motion indicate that initially localized
regions of vorticity tend to evolve into isolated vortices and that these vortices then serve as …

We consider a stochastic system of N particles, usually called vortices in that setting,
approximating the 2D Navier–Stokes equation written in vorticity. Assuming that the initial …

We investigate the validity and failure of Liouville theorems and Harnack inequalities for
parabolic and elliptic operators with low regularity coefficients. We are particularly interested …

This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or
interfaces in random media) to senior undergraduates and beginning grad uate students …