American Institute of Mathematical Sciences

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September  2009, 2(3): i-ii. doi: 10.3934/dcdss.2009.2.3i

Preface

Irena Lasiecka 1, , Mitsuhiro Nakao 2, and  Grozdena Todorova 3,

1. 

University of Virginia, Department of Mathematics, Charlottesville, VA 22901
2. 

Graduate School of Mathematics, Kyushu University, Fukuoka 810-8560
3. 

Department of Mathematics, University of Tennessee, Knoxville, TN 37096-1300

Published  June 2009

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.
    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.
    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.

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Citation: Irena Lasiecka, Mitsuhiro Nakao, Grozdena Todorova. Preface. Discrete & Continuous Dynamical Systems - S, 2009, 2 (3) : i-ii. doi: 10.3934/dcdss.2009.2.3i
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