Control and stabilization of partial differential equations. Kaïs Ammari, ed.
Séminaires et Congrès 29 (2015), x+119 pages
Different control techniques for linear parabolic equations were presented and the deduction of the null controllability of such equations from local Carleman inequality was described. Overall Carleman-type and Hardy type inequalities for the null controllability of degenerate parabolic equations were discussed. Current issues in the control of conservation laws, such as the control of classical solutions in singular control limits, and the control solutions with shock waves, were also highlighted during this school.
Finally, different techniques and methods for the stability of evolution equations with and without delay, applicable to Navier-Stokes equations were presented.