Pathwise Solutions of the 2D Stochastic Primitive Equations

Details Pathwise Solutions of the 2D Stochastic Primitive Equations Pathwise Solutions of the 2D Stochastic Primitive Equations

2010-07-16

arxiv.org/abs/1007.2833v3

Mathematics

Analysis of PDEs

Scientific paper

In this work we consider a stochastic version of the Primitive Equations (PEs) of the ocean and the atmosphere and establish the existence and uniqueness of pathwise, strong solutions. The analysis employs novel techniques in contrast to previous works in order to handle a general class of nonlinear noise structures and to allow for physically relevant boundary conditions. The proof relies on Cauchy estimates, stopping time arguments and anisotropic estimates.

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