Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension | Zendy

Viorel Barbu | Zendy; Ionuţ Munteanu | Zendy

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Internal stabilization of Navier-Stokes equation with exact controllability on spaces with finite codimension

Author(s) -

Viorel Barbu,

Ionuţ Munteanu

Publication year - 2012

Publication title -

evolution equations and control theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.665

H-Index - 19

eISSN - 2163-2480

pISSN - 2163-2472

DOI - 10.3934/eect.2012.1.1

Subject(s) - codimension , controllability , mathematics , space (punctuation) , mathematical analysis , navier–stokes equations , pure mathematics , physics , mathematical physics , mechanics , computer science , compressibility , operating system

One designs an internal stabilizing feedback controller, for the Navier-Stokes equations, which steers, in finite time, the initial value $X_o$ in $X_e+\mathcal{X}_s$, where $X_e$ is any equilibrium solution and $\mathcal{X}_s$ is a finite codimensional space, consisting of stable modes.

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