What question did this study set out to answer?

The aim is to analyze systems of interacting fields that follow singular stochastic partial differential equations.

June 26, 2026Journal de l’École polytechnique — MathématiquesOpen Access

Mean field singular stochastic partial differential equations

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The aim is to analyze systems of interacting fields that follow singular stochastic partial differential equations.
Develop a robust framework for the analysis of these singular stochastic partial differential equations.
Prove a well-posedness result ensuring solutions exist and are unique.
Demonstrate a propagation of chaos result indicating independence of distant fields over time.
Well-posedness established for the considered singular stochastic partial differential equations.
Propagation of chaos shows independence among interacting fields under specified conditions.

Implication

Study explores well-posedness and chaos propagation in interacting field systems, indicating robustness.

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 This Study

Bailleul et al. (2026) studied this question.

synapsesocial.com/papers/6a3e16cd030ad1a9b3090956 https://doi.org/10.5802/jep.344

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Implication

Study explores well-posedness and chaos propagation in interacting field systems, indicating robustness.

Mean field singular stochastic partial differential equations

Key Points

Implication

Abstract

Discussion

Cite This Study

Mean field singular stochastic partial differential equations

Key Points

Implication

Abstract

Discussion

Cite This Study

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