Preface

Abstract

This issue comprises a selection of papers in the general area of analysis and control of systems described by non-linear evolutionary equations, that are relevant to applications in mathematical physics. Models considered range from classical non-linear wave and heat equations to quite complex systems consisting of two or more coupled equations. In this latter case, coupling often occurs between two different types of dynamics - say, a hyperbolic component and a parabolic component - with coupling in various forms, throughout the interior of the spatial domain and/or at the interface between the two media. Illustrations include systems of non-linear thermo-elasticity; fluid structure- and acoustic-structure interactions; electro-magnetism among others. <br> Dynamical models such as these are frequently encountered in modern technological applications. In recent years, they have attracted considerable attention and many new results and developments have become available. <br> Papers collected in this volume address and present some of these advances, with particular emphasis on newly developed techniques that bear on further progress in the field. <br><br> For more information please click the “Full Text” above.