The notion of propagation of chaos for large systems of interacting particles originates in
statistical physics and has recently become a central notion in many areas of applied …

One question was to understand the nature of the connection between (0.1) and (0.2). There
are now works directly attacking the problem (see Lanford [22J, and more recently …

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 …

We consider two special models of interacting diffusion processes, and derive in the limit, as
the number of different processes tends to infinity and the interaction is rescaled in a suitable …

(1.2) that is to say. starting with N particles at time O. independent and Uo distributed. if one
fixes k. t> O. when N goes to infinity. asymptotically the 1 k first k particles xt••••• xt become …

In this work we continue to investigate well-posedness for stable driven McKean-Vlasov
SDEs with distributional interaction kernel following the approach introduced in [8]. We …

The existence of McKean's nonlinear jump Markov processes and related Monte Carlo type
approximation schemes by interacting particle systems (propagation of chaos) are studied …

The class of log-aesthetic curves includes the logarithmic spiral, clothoid, and involute of a
circle. Although most of these curves are expressed only by an integral form of the tangent …

The paper reports on the existence of McKean's nonlinear processes and the related
propagation of chaos results for a class of one-dimensional (1-D) generalized Burgers-type …

u(t,x)sL2((O, T)x(-R,R)) forany T,R>O, u(t) L(O, oo; H-’()), Page 1 SIAM J. MATH. ANAL. Voi. 20,
No. pp. 582-588, May 1989 (C) 1989 Society for Industrial and Applied Mathematics 006 THE …