STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE-Reference-Cited by-同舟云学术

STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE

Published:2007-04 Issue:02 Volume:05 Page:183-198
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

EWALD B.¹,PETCU M.²³,TEMAM R.⁴²

Affiliation:

1. Department of Mathematics, Florida State University, Tallahassee, Florida, 32306-4510, USA

2. The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, Indiana 47405, USA

3. Université de Genève, Section de Mathématiques, Genève, Switzerland

4. Laboratoire d'Analyse Numérique et EDP, Université de Paris-Sud, Orsay, France

Abstract

The aim of this article is to establish the existence and uniqueness of stochastic solutions of the two-dimensional equations of the ocean and atmosphere. White noise is additive, and the solutions are strong in the probabilistic sense. Finally, from the point of view of partial differential equations, they are of the type z-weak, that is, bounded in L∞(L2) together with their derivative in z.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530507000948

Reference12 articles.

1. Equations stochastiques du type Navier-Stokes

2. 2-D Euler equation perturbed by noise

3. Ergodicity for Infinite Dimensional Systems

4. Maximum principles for the primitive equations of the atmosphere

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