Pathwise Solutions of the 2D Stochastic Primitive Equations
Analysis of PDEs
2010-12-10 v3 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.1007.2833,
title = {Pathwise Solutions of the 2D Stochastic Primitive Equations},
author = {Nathan Glatt-Holtz and Roger Temam},
journal= {arXiv preprint arXiv:1007.2833},
year = {2010}
}