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Global Semiclassical Limit from Hartree to Vlasov Equation for Concentrated Initial Data

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  • معلومة اضافية
    • Contributors:
      CEntre de REcherches en MAthématiques de la DEcision (CEREMADE); Université Paris Dauphine-PSL; Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS); Centre de Mathématiques Laurent Schwartz (CMLS); École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS); Institut Camille Jordan (ICJ); École Centrale de Lyon (ECL); Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Modélisation mathématique, calcul scientifique (MMCS); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL)
    • بيانات النشر:
      HAL CCSD
      EMS
    • الموضوع:
      2021
    • Collection:
      HAL Lyon 1 (University Claude Bernard Lyon 1)
    • نبذة مختصرة :
      20 pages ; International audience ; We prove a quantitative and global in time semiclassical limit from the Hartree to the Vlasov equation in the case of a singular interaction potential in dimension d ≥ 3, including the case of a Coulomb singularity in dimension d = 3. This result holds for initial data concentrated enough in the sense that some space moments are initially sufficiently small. As an intermediate result, we also obtain quantitative semiclassical bounds on the space and velocity moments of even order and the asymptotic behaviour of the spatial density due to dispersion effects.
    • Relation:
      hal-02046481; https://hal.science/hal-02046481; https://hal.science/hal-02046481v2/document; https://hal.science/hal-02046481v2/file/Vlasov2.pdf
    • الرقم المعرف:
      10.1016/j.anihpc.2021.01.004
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.D7D5C2B5