Abstract: I will discuss the issue of well-posedness and singularity formation in the context of a geometric wave equation, but with ramifications well beyond the model.
Bio: Joachim Krieger is the chair professor of PDEs at Ecole polytechnique fédérale de Lausanne (EPFL) and a Fellow of the American Mathematical Society. He received his PhD from Princeton University. He is a leading expert on hyperbolic and dispersive PDEs, with particular interests in the precise blow up dynamics of solutions, the stability/instability of soliton type solutions, and more recently the related control properties. He has done fundamental work on the wave maps blow up problems and has received the SNSF/ERC Consolidator Grant.
