Title :
A model of stochastic differential equation in Hilbert applicable to Navier-Stokes equation in dimension 2
Author_Institution :
Univ. Paris-Dauphine, Le Chesnay, France
Abstract :
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
Keywords :
Navier-Stokes equations; differential equations; 2D equation; Navier-Stokes equation; dimension 2; nonlinearity; stochastic partial differential equations; Convergence; Differential equations; Filtration; Hilbert space; Linearity; Navier-Stokes equations; Partial differential equations; Stochastic processes; Storage area networks;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.204043
