Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Michael Roeckner, Bielefeld University and AMSS
Inviter:
Title:	Monotonicity methods for SPDE, including the time fractional case
Time & Venue:	2019.09.10/11 10:45-11:45 15:45-16:45;09.12 15:45-16:45 N224
Abstract:	In the first part of the lectures we shall give a concise overview on the theory and applications of SPDE with locally monotone coefficients under generalized growth and coercivity conditions. Applications include in particular classical cases as the stochastic 2D and 3D-Navier Stokes equations or the stochastic Cahn-Hilliard equation or surface growth models. The second part will be devoted to the time fractional case. A general well-posedness result including the underlying main ideas and sketch of the proof will be presented. Applications here include the stochastic porous media, fast diffusion and p-Laplace equations with fractional time derivative. Time permitting, a survey on various partly quite recent notions of solutions, as e.g. in the sense of stochastic variational inequalities or so-called variational solutions, which are minimizers of appropriate convex functionals on spaces of random paths, will be given.