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
TypeCommunication / Conférence
Conference title29th IEEE Conference on Decision and Control, 1990.
Book titleProceedings of the 29th IEEE Conference on Decision and Control, 1990.,
MetadataShow full item record
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 / Keywordsnonlinearity; Navier-Stokes equation; dimension 2
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