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.
Preface Kaïs Ammari and Stéphane Gerbi
1. Controllability of parabolic systems - the moment method Farid Ammar Khodja
2. Stabilization of semilinear PDEs, and uniform decay under discretization Emmanuel Trélat
3. A null controllability result for the linear system of Thermoelastic plates with a single control Carlos Castro and Luz de Teresa
4. Doubly connected V-states for the generalized surface Quasi-Geostrophic equations Francisco de la Hoz, Zineb Hassainia and Taoufik Hmidi
5. About least-squares type approach to address direct and controllability problems Arnaud Münch and Pablo Pedregal
6. A note on the asymptotic stability of wave-type equations with switching time-delay Serge Nicaise and Cristina Pignotti
7. Ill-posedness of coupled systems with delay Lisa Fischer and Reinhard Racke
8. Controllability of parabolic equations by the flatness approach Philippe Martin, Lionel Rosier and Pierre Rouchon
9. Mixing for the burgers equation driven by a localised two-dimensional stochastic forcing Armen Shirikyan.
