Existence and stability of weak solutions of the Vlasov-Poisson system in localised Yudovich spaces

DOI10.1088/1361-6544/ad5bb3zbMATH Open1545.35208MaRDI QIDQ6583642

Gianluca Crippa, Chiara Saffirio, Giorgio Stefani, Marco Inversi

Publication date: 6 August 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemOsgood conditionVlasov-Poisson equationsLagrangian stabilityYudovich spaces

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Weak solutions to PDEs (35D30) Electro- and magnetostatics (78A30) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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