The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations

By Tomás Caraballo, José A. Langa, Takeshi Taniguchi. 2002

82 citations recorded by the source corpus.

Abstract Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier–Stokes equation are established. The first ones are proved as a consequence of the exponential mean square stability of the solutions. However, some of them are improved by avoiding the previous mean square stability in some more particular and restrictive situations. Also, some results and comments concerning the stabilizability and stabilization of these equations are stated.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ec56f929f5533ccd796aaf0e5ce37e996ded1b05

How researchers see this paper

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In Applied Mathematics

1. Takeshi Taniguchi
2. Bixiang Wang

In Control and Systems Engineering

1. Takeshi Taniguchi
2. Jiaowan Luo

Citations in the corpus

• The exponential stability for stochastic delay partial differential equations (2007, background): “Recently stochastic partial differential equations in a separable Hilbert space have been studied by many authors and various results on the existence, uniqueness and the asymptotic behavior of the solutions have been established (e.g., [4–8, 10, 12]).”