Chair of Partial Differential Equations
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Director of the Chair Professor Joachim Krieger |
Our group conducts research on nonlinear partial differential equations which arise in mathematical physics, particularly geometric wave equations. We aim at rigorously proving theorems about existence of solutions, ideally without any restrictions on data, as well as analyzing theoretically the asymptotic features of such solutions. Some of the motivation comes from numerical experiments conducted by physicists, which we try to put on solid theoretical foundation. Particular areas of interest are stability/instability of soliton type solutions, as well as precise blow up dynamics of solutions.