Download Control of Turbulent and Magnetohydrodynamic Channel Flows: by Rafael Vazquez,Miroslav Krstic PDF

By Rafael Vazquez,Miroslav Krstic

This monograph provides new confident layout equipment for boundary stabilization and boundary estimation for numerous periods of benchmark difficulties in movement keep an eye on, with power purposes to turbulence regulate, climate forecasting, and plasma keep an eye on. the root of the strategy utilized in the paintings is the lately built non-stop backstepping procedure for parabolic partial differential equations, increasing the applicability of boundary controllers for move structures from low Reynolds numbers to excessive Reynolds quantity stipulations. particular subject matters and lines contain an creation of regulate and kingdom estimation designs for flows that come with thermal convection and electrical conductivity; software of a distinct 'backstepping' procedure the place the boundary regulate layout is mixed with a specific Volterra transformation of the stream variables; extraordinary effects for closed-form expressions for the suggestions of linearized Navier–Stokes equations lower than suggestions; and extension of the backstepping method of do away with one of many well-recognized root reasons of transition to turbulence: the decoupling of the Orr–Sommerfeld and Squire structures. keep watch over of Turbulent and Magnetohydrodynamic Channel Flows is a wonderful reference for a huge, interdisciplinary engineering and arithmetic viewers: keep watch over theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electric engineers, utilized mathematicians, in addition to study and graduate scholars within the above components. The e-book can also be used as a supplementary textual content for graduate classes on regulate of distributed-parameter platforms and on movement control.

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