Programme leader: L.A. Peletier, Ph.P.J.E. Clément
This programme embraces the study of nonlinear variational problems and
evolution equations. The emphasis lies on problems arising in the
sciences and in engineering. Traditionally, the group has been very
active in the study of nonlinear difffusion problems, especially those
involving interfaces or other singularities, and often related to
specific applications. However, recently research has branched out into
the study of higher order model equations such as the Swift-Hohenberg
equation, arising in mathematical physics and nonlinear solid mechanics.
Research takes place in a variety of individual and institutional collaborations. We mention here the Centre for Nonlinear Partial Differential Equations Amsterdam-Delft-Leiden, the NWO initiative on Nonlinear Systems, the HCM Network with groups from Bonn, Florence, Madrid, Paris and Oxford, the ongoing collaborations with the universities of Bordeaux, Lyon, Madrid, Nottingham, Pittsburgh and Trieste and the HCM Network Reaction Diffusion Equations with Madrid, Edinburgh, Toulouse, Trieste, Athens.