Volume 34, Number 2, March/April 2000Special issue for R. Teman's 60th birthday
|Page(s)||241 - 273|
|Published online||15 April 2002|
Local Solutions for Stochastic Navier Stokes Equations
University Paris Dauphine and CNES, 2 Place Maurice Quantor,
75001 Paris, France.
2 Institüt für Angewandte Mathematik, Universität Bonn, 6 BeringStrasse, Bonn, Germany.
In this article we consider local solutions for stochastic Navier Stokes equations, based on the approach of Von Wahl, for the deterministic case. We present several approaches of the concept, depending on the smoothness available. When smoothness is available, we can in someway reduce the stochastic equation to a deterministic one with a random parameter. In the general case, we mimic the concept of local solution for stochastic differential equations.
Mathematics Subject Classification: 35Q30 / 76D06
Key words: Navier Stokes equations / stochastic equations / abstract parabolic equations / Ito integral / local solution / Ito equation / Stokes operator / Functional equation / Mild solution / Random time.
© EDP Sciences, SMAI, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.