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Stochastic differential equations for the kinetic and hydrodynamic equations

✍ Scribed by Mirosław Lachowicz

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
352 KB
Volume
5
Category
Article
ISSN
0924-090X

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✦ Synopsis

A finite system of stochastic interacting particles is considered. The system approximates the solutions of the kinetic equations (the Boltzmann equation, the Boltzmann-Enskog equation) as well as the solutions describing the macroscopic evolution of fluids: the Euler and the Navier-Stokes hydrodynamic equations.

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Functionally perturbed stochastic differ
Functionally perturbed stochastic differential equations
✍ Miljana Jovanović; Svetlana Janković 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 257 KB

## Abstract This paper is devoted to the large class of stochastic differential equations of the Ito type whose coefficients are functionally perturbed and depend on a small parameter. The solution of a such equation is compared with the solution of the corresponding unperturbed equation, in the (2