ArticleJournal of dynamics and differential equations2024
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model.
Article in Journal of dynamics and differential equations, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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- Global solutions for stochastically controlled fluid dynamics models.Stochastic partial differential equations : analysis and computations · 2026Article
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Abstract
In this paper, we study the well-posedness properties of a stochastic rotating shallow water system. An inviscid version of this model has first been derived in Holm (Proc R Soc A 471:20140963, 2015) and the noise is chosen according to the Stochastic Advection by Lie Transport theory presented in Holm (Proc R Soc A 471:20140963, 2015). The system is perturbed by noise modulated by a function that is not Lipschitz in the norm where the well-posedness is sought. We show that the system admits a unique maximal solution which depends continuously on the initial condition. We also show that the interval of existence is strictly positive and the solution is global with positive probability.
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