Construction of Boltzmann and McKean-Vlasov type flows (the sewing lemma approach)

DOI10.1214/22-aap1894arXiv2105.12677OpenAlexW3165183111WikidataQ124814201 ScholiaQ124814201MaRDI QIDQ6187464

Aurélien Alfonsi, Vlad Bally

Publication date: 15 January 2024

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12677

zbMATH Keywords

Boltzmann equationEnskog equationinteracting particle systemMcKean-Vlasov equationsewing lemma

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic integral equations (60H20) Vlasov equations (35Q83) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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