Evolution Equations: Long Time Behavior and Control

doi:10.1017/9781108304023

The proceedings of the summer school held at the Université Savoie Mont Blanc, France, 'Mathematics in Savoie 2015', whose theme was long time behavior and control of evolution equations. The event was attended by world-leading researchers from the community of control theory, as well as young researchers from around the globe. This volume contains surveys of active research topics, along with original research papers containing exciting new results on the behavior of evolution equations. It will therefore benefit both graduate students and researchers. Key topics include the recent view on the controllability of parabolic systems that permits the reader to overview the moment method for parabolic equations, as well as numerical stabilization and control of partial differential equations.

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Evolution Equations

Long Time Behavior and Control

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

List of Contributors Present at the Summer School
pp ix-x

1 - Controllability of Parabolic Systems: The Moment Method
pp 1-30

2 - Stabilization of Semilinear PDEs, and Uniform Decay under Discretization
pp 31-76

3 - A Null-Controllability Result for the Linear System of Thermoelastic Plates with a Single Control
pp 77-89

4 - Doubly Connected V-States for the Generalized Surface Quasi-geostrophic Equations
pp 90-117

5 - About Least-Squares Type Approach to Address Direct and Controllability Problems
pp 118-136

6 - A Note on the Asymptotic Stability of Wave-Type Equations with Switching Time-Delay
pp 137-150

7 - Ill-Posedness of Coupled Systems with Delay
pp 151-160

8 - Controllability of Parabolic Equations by the Flatness Approach
pp 161-178

9 - Mixing for the Burgers Equation Driven by a Localized Two-Dimensional Stochastic Forcing
pp 179-194

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Long Time Behavior and Control

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