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20052025
most citedExponential mixing for a class of dissipative PDEs with bounded degenerate noise

48 citations · 255 across the 27 of their papers we have counts for

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math.OC2012

Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation

Kaïs Ammari, Thomas Duyckaerts, Armen Shirikyan

We study a damped semi-linear wave equation in a bounded domain with smooth boundary. It is proved that any sufficiently smooth solution can be stabilised locally by a finite-dimen…

math.OC2010

Internal exponential stabilization to a non-stationary solution for 3D Navier-Stokes equations

Viorel Barbu, Sergio S. Rodrigues, Armen Shirikyan

We consider the Navier-Stokes system in a bounded domain with a smooth boundary. Given a sufficiently regular time-dependent global solution, we construct a finite-dimensional feed…