Martin-Luther-Universität Halle-Wittenberg

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8. Mai 2019

Nicolas Perkowski (Humboldt-Uni Berlin und MPI)

Singular Stochastic Partial Differential Equations

Abstract:

In some areas of mathematical physics such as infinite-dimensional Langevin  dynamics or dynamics near criticality one encounters so called "singular  stochastic PDEs", a class of equations that are ill posed due to resonances  which may arise from the interplay of irregular noise and nonlinearities. Recent  years saw a number of mathematical developments allowing us to solve and study  such equations for the first time. In my talk I will motivate the appearance of  some singular SPDEs, present the main ideas of our new solution theories, and  discuss some recent developments in the field.

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