Feedback Stabilization of Two Dimensional Magnetohydrodynamic Equations*
نویسنده
چکیده
We prove the local exponential stabilizability for the MHD system in space dimension 2, with internally distributed feedback controllers. These controllers take values in a finite dimensional space which is the unstable manifold of the elliptic part of the linearized operator. They are represented through two scalar functions supported in a subdomain. Mathematics Subject Classification 2000: 93D15, 35Q35, 76W05, 35Q30, 35Q60, 93B07.
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