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Well-Posedness Properties for a Stochastic Rotating Shallow Water Model

Well-Posedness Properties for a Stochastic Rotating Shallow Water Model

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 …