Thumbnail - Request a copy

A model of stochastic differential equation in Hilbert applicable to Navier-Stokes equation in dimension 2

Bensoussan, Alain (1990), A model of stochastic differential equation in Hilbert applicable to Navier-Stokes equation in dimension 2, Proceedings of the 29th IEEE Conference on Decision and Control, 1990.,, IEEE, p. 2335-2336. http://dx.doi.org/10.1109/CDC.1990.204043

Type
Communication / Conférence
Date
1990
Conference title
29th IEEE Conference on Decision and Control, 1990.
Conference date
1990-12
Conference city
Honolulu
Conference country
États-Unis
Book title
Proceedings of the 29th IEEE Conference on Decision and Control, 1990.,
Publisher
IEEE
Pages
2335-2336
Publication identifier
Metadata
Show full item record
Author(s)
Bensoussan, Alain
Abstract (EN)
Nagase has given new results for the existence of solutions of stochastic partial differential equations. The main idea is to use a compactness argument based on a special Hilbert space introduced by J. L. Lions (1961) in the context of parabolic linear partial differential equations. Previously, the author considered a class of nonlinear partial differential equations which generalize those of Nagase as far as the nonlinearity is considered. Here the author considers another class of nonlinearity which covers the Navier-Stokes equation in dimension 2.
Subjects / Keywords
nonlinearity; Navier-Stokes equation; dimension 2