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arxiv: 2403.12651 · v1 · pith:LRAVPWGK · submitted 2024-03-19 · math.AP

Mean-field derivation of Landau-like equations

Jos\'e Antonio Carrillo , Shuchen Guo , Pierre-Emmanuel Jabin This is my paper

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classification math.AP
keywords 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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