Title

Existence and uniqueness of solutions to the backward 2D stochastic Navier-Stokes equations

Document Type

Article

Publication Date

4-1-2009

Abstract

The backward two-dimensional stochastic Navier-Stokes equations (BSNSEs, for short) with suitable perturbations are studied in this paper, over bounded domains for incompressible fluid flow. A priori estimates for adapted solutions of the BSNSEs are obtained which reveal a pathwise L∞ (H) bound on the solutions. The existence and uniqueness of solutions are proved by using a monotonicity argument for bounded terminal data. The continuity of the adapted solutions with respect to the terminal data is also established. © 2008 Elsevier B.V. All rights reserved.

Publication Source (Journal or Book title)

Stochastic Processes and their Applications

First Page

1216

Last Page

1234

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