Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations

By using a regularity approximation argument, the global existence and uniqueness are derived for a class of nonlinear SPDEs depending on both the whole history and the distribution under strong enough noise. As applications, the global existence and uniqueness are proved for distribution-path depen...

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Veröffentlicht in:	Potential analysis 2024, Vol.61 (2), p.379-407
Hauptverfasser:	Ren, Panpan, Tang, Hao, Wang, Feng-Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Coriolis effect Fluid dynamics Fluid mechanics Functional Analysis Geometry Mathematics Mathematics and Statistics Partial differential equations Potential Theory Probability Theory and Stochastic Processes Uniqueness Wave breaking
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