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Mean-field derivation of Landau-like equations
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math.AP
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landau-likeequationequationssolutionboundsclassderivationderive
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We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation.
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