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Peer-reviewedCC BYJournal de l'École polytechnique — Mathématiques

Mean field singular stochastic partial differential equations

  • Ismaël Bailleul
  • Nicolas Moench
Open at sourcePDFDOICite

Abstract

We study some systems of interacting fields whose evolution is given by some singular stochastic partial differential equations of mean field type. We provide a robust setting for their study and prove a well-posedness result and a propagation of chaos result.

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Cite

BibTeXRIS
BibTeX
@article{bailleul2026mean,
  title = {{Mean field singular stochastic partial differential equations}},
  author = {Ismaël Bailleul and Nicolas Moench},
  journal = {Journal de l'École polytechnique — Mathématiques},
  year = {2026},
  month = jun,
  doi = {10.5802/jep.344},
  url = {https://hal.science/hal-05751726v1},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Mean field singular stochastic partial differential equations
AU  - Ismaël Bailleul
AU  - Nicolas Moench
PY  - 2026
DA  - 2026/06/23
JO  - Journal de l'École polytechnique — Mathématiques
DO  - 10.5802/jep.344
UR  - https://hal.science/hal-05751726v1
AB  - We study some systems of interacting fields whose evolution is given by some singular stochastic partial differential equations of mean field type. We provide a robust setting for their study and prove a well-posedness result and a propagation of chaos result.
SN  - 2429-7100
SN  - 2270-518X
ER  -