arXiv:2403.12651 Abstract | arXiv Analytics

arXiv:2403.12651 [math.AP]Abstract References Reviews Resources

Mean-field derivation of Landau-like equations

José Antonio Carrillo, Shuchen Guo, Pierre-Emmanuel Jabin

Published 2024-03-19Version 1

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.

Comments: 7 pages

Categories: math.AP

Keywords: mean-field derivation, n-particle liouville equation, space homogeneous landau-like equations, stochastic interacting particles, relative entropy

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