Publicación: EXACT CONTROLLABILITY OF GALERKIN´S APPROXIMATIONS OF MICROPOLAR FLUIDS
Fecha
2010
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Resumen
WE CONSIDER THE NONLINEAR MODEL DESCRIBING MICROPOLAR FLUID IN A BOUNDED SMOOTH REGION OF ? N (N=2,3) WITH DISTRIBUTED CONTROLS SUPPORTED IN SMALL SUBSET OF THIS DOMAIN. UNDER SUITABLE ASSUMPTIONS ON THE GALERKIN BASIS, WE INTRODUCE GALERKIN?S APPROXIMATIONS FOR THE CONTROLLABLE MICROPOLAR FLUID SYSTEM. BY USING THE HILBERT UNIQUENESS METHOD IN COMBINATION WITH A FIXED POINT ARGUMENT, WE PROVE THE EXACT CONTROLLABILITY RESULT FOR THIS FINITE-DIMENSIONAL SYSTEM.
