Smooth, Homogeneous and Isotropic Solutions of Quasilinear Stochastic Partial Diierential Equations of Mckean-vlasov Type
نویسنده
چکیده
Smooth, homogeneous and isotropic random elds are derived from the distribution of a system of diiusing particles with mean eld interaction. The main tools are stochastic ordinary diierential equations (SODE's) for the positions of the particles and stochastic partial diierential equations (SPDE's) for the mass distribution of the particles. The methods and results used in this paper generalize methods and results of Kotelenez (1995b) from the case of conserved nite mass to the case of innnite mass and the derivation of homogeneous and isotropic elds as solutions of SPDE's.
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