Diffusion-Approximation For A Kinetic Spray-Like System With Random Forcing
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S(2021)
摘要
We study a kinetic toy model for a spray of particles immersed in an ambient fluid, subject to some additional random forcing given by a mixing, space-dependent Markov process. Using the perturbed test function method, we derive the hydrodynamic limit of the kinetic system. The law of the limiting density satisfies a stochastic conservation equation in Stratonovich form, whose drift and diffusion coefficients are completely determined by the law of the stationary process associated with the Markovian perturbation.
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关键词
Kinetic equations, stochastic partial differential equations, diffusion-approximation, hydrodynamic limit
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