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

By Rafael Vazquez,Miroslav Krstic

This monograph provides new positive layout tools for boundary stabilization and boundary estimation for numerous periods of benchmark difficulties in circulate regulate, with capability purposes to turbulence keep an eye on, climate forecasting, and plasma keep watch over. the root of the procedure utilized in the paintings is the lately built non-stop backstepping procedure for parabolic partial differential equations, increasing the applicability of boundary controllers for stream structures from low Reynolds numbers to excessive Reynolds quantity stipulations. particular issues and lines comprise an creation of keep watch over and country estimation designs for flows that come with thermal convection and electrical conductivity; program of a unique 'backstepping' process the place the boundary keep watch over layout is mixed with a specific Volterra transformation of the circulation variables; unparalleled effects for closed-form expressions for the ideas of linearized Navier–Stokes equations below suggestions; and extension of the backstepping method of do away with one of many well-recognized root motives of transition to turbulence: the decoupling of the Orr–Sommerfeld and Squire structures. regulate of Turbulent and Magnetohydrodynamic Channel Flows is a wonderful reference for a large, interdisciplinary engineering and arithmetic viewers: keep an eye on theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electric engineers, utilized mathematicians, in addition to examine and graduate scholars within the above parts. The ebook can also be used as a supplementary textual content for graduate classes on regulate of distributed-parameter structures and on circulation control.

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