arXiv subjects
Publications and source records attributed to Paolo Muratore Ginanneschi.
The theory of stochastic differential equations is exploited to derive the Hopf's identities for a passive scalar advected by a Gaussian drift field delta-correlated in time. The result holds true both for compressible and incompressible velocity field.
By means of Ito calculus it is possible to find, in a straight-forward way, the analytical solution to some equations related to the passive tracer transport problem in a velocity field that obeys the multidimensional Burgers equation and to a simple model of reactive tracer motion.
The mass transport by a Burgers velocity field is investigated in the framework of the theory of stochastic processes. Much attention is devoted to the limit of vanishing viscosity (inviscid limit) describing the "adhesion model" for the early stage of the evolution of the Universe. In particular the mathematical foundations for the ansatz currently used in the literature to compute the mass distribution in the inviscid limit are provided.