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Stochastic averaging lemmas for kinetic equations
Stochastic kinetic equations stochastic conservation laws averaging lemmas fractional Sobolev spaces
2012/4/17
We develop a class of averaging lemmas for stochastic kinetic equations. The velocity is multiplied by a white noise which produces a remarkable change in time scale. Compared to the deterministic cas...
Chemotaxis: from kinetic equations to aggregate dynamics
duality solutions non local conservation equations hydrodynamic limit measure-valued solutions chemotaxis
2011/8/25
Abstract: The hydrodynamic limit for a kinetic model of chemotaxis is investigated. The limit equation is a non local conservation law, for which finite time blow-up occurs, giving rise to measure-val...