36 citations · 37 across the 12 of their papers we have counts for
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Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility
Utpal Manna, Jose-Luis Menaldi, Sivaguru S. Sritharan
In this paper we study the stochastic Navier-Stokes equation with artificial compressibility. The main results of this work are the existence and uniqueness theorem for strong solu…
Lyapunov Functionals and Local Dissipativity for the Vorticity Equation in L^p and Besov Spaces
Utpal Manna, Sivaguru S. Sritharan
In this paper we establish the local Lyapunov property of certain L^p and Besov norms of the vorticity fields. We have resolved in part, a certain open problem posed by Tosio Kato…
Large Deviations for the Stochastic Shell Model of Turbulence
U. Manna, S. S. Sritharan, P. Sundar
In this work we first prove the existence and uniqueness of a strong solution to stochastic GOY model of turbulence with a small multiplicative noise. Then using the weak convergen…