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Applications of Variational Inequalities in Stochastic Control

Control theory --- Stochastic processes --- Differential equations, Partial --- Variational inequalities (Mathematics) --- Théorie de la commande --- Processus stochastiques --- Equations aux dérivées partielles --- Inégalités variationnelles --- Stochastic control theory --- Théorie de la commande --- Equations aux dérivées partielles --- Inégalités variationnelles --- ELSEVIER-B EPUB-LIV-FT --- Differential equations, Partial. --- Stochastic control theory. --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Partial differential equations

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The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.

Control theory --- Distributed parameter systems --- Differential equations, Partial --- Numerical solutions --- Control theory. --- Distributed parameter systems. --- Systems, Distributed parameter --- Engineering systems --- System analysis --- Numerical analysis --- Dynamics --- Machine theory --- Numerical solutions. --- Differential equations, Partial - Numerical solutions

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Asymptotic Analysis for Periodic Structures

Numerical solutions of differential equations --- Mathematical physics --- Boundary value problems --- Differential equations, Partial --- Probabilities. --- Numerical solutions. --- Asymptotic theory. --- Probabilities --- 517.95 --- Asymptotic theory in partial differential equations --- Asymptotic expansions --- 517.95 Partial differential equations --- Partial differential equations --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Numerical solutions --- Asymptotic theory --- Boundary value problems - Numerical solutions --- Differential equations, Partial - Asymptotic theory --- Problemes aux limites --- Equations differentielles --- Equations aux derivees partielles --- Developpements asymptotiques --- Methodes numeriques --- Resolution numerique