Well-Posedness Properties for a Stochastic Rotating Shallow Water Model
نویسندگان
چکیده
Abstract In this paper, we study the well-posedness properties of a stochastic rotating shallow water system. An inviscid version model has first been derived in Holm (Proc R Soc A 471:20140963, 2015) and noise is chosen according to Stochastic Advection by Lie Transport theory presented 2015). The system perturbed modulated function that not Lipschitz norm where sought. We show admits unique maximal solution which depends continuously on initial condition. also interval existence strictly positive global with probability.
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2023
ISSN: ['1040-7294', '1572-9222']
DOI: https://doi.org/10.1007/s10884-022-10243-1