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

By Rafael Vazquez,Miroslav Krstic

This monograph provides new optimistic layout equipment for boundary stabilization and boundary estimation for numerous periods of benchmark difficulties in move keep watch over, with strength functions to turbulence keep an eye on, climate forecasting, and plasma keep an eye on. the root of the process utilized in the paintings is the lately constructed non-stop backstepping approach for parabolic partial differential equations, increasing the applicability of boundary controllers for movement platforms from low Reynolds numbers to excessive Reynolds quantity stipulations. particular themes and lines comprise an advent of regulate and kingdom estimation designs for flows that come with thermal convection and electrical conductivity; program of a unique 'backstepping' strategy the place the boundary keep an eye on layout is mixed with a selected Volterra transformation of the movement variables; remarkable effects for closed-form expressions for the ideas of linearized Navier–Stokes equations less than suggestions; and extension of the backstepping method of get rid of one of many well-recognized root factors 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: regulate theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electric engineers, utilized mathematicians, in addition to study and graduate scholars within the above parts. The e-book can also be used as a supplementary textual content for graduate classes on keep watch over of distributed-parameter structures and on stream control.

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