Variational analysis: new trends and developments

par Boris Mordukhovich (Wayne State University - USA)

mardi 24 juin 2014, 16:30 → 17:30 Europe/Paris

Salle de conférence (XLIM)

Variational analysis has been recognized as an active and rapidly growing area of mathematics and operations research motivated mainly by the study of constrained optimization and equilibrium problems, while also applying perturbation ideas and variational principles to a broad class of problems and situations that may be not of a variational nature. One of the most characteristic features of modern variational analysis is the intrinsic presence of nonsmoothness, which naturally enters not only through the initial data of the problems under consideration but largely via variational principles and perturbation techniques applied to a variety of problems with even smooth data. Nonlinear dynamics and variational systems in applied sciences also give rise to nonsmooth structures and motivate the development of new forms of analysis that rely on generalized differentiation. This talk is mainly devoted to some recent achievements in variational analysis and its applications to problems of constrained optimization, equilibria, control problems governed by ordinary differential and partial differential systems, etc.