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Wednesday, July 8, 2020 - 14:00 in ZOOM - Video Conference


Global solutions for quasilinear SPDEs via the boundedness-by-entropy method

A talk in the Bielefeld Stochastic Afternoon series by
Alexandra Neamtu from Bielefeld

Abstract: Please contact stochana@math.uni-bielefeld.de for Meeting-ID and Password. We investigate the well-posedness of quasilinear SPDEs, where the diffusion matrix is neither symmetric nor positive-semidefinite. Such problems arise in many application areas like fluid dynamics, cell biology and biofilm modeling. We explore a formal gradient flow or entropy structure of these equations and an interplay between the entropy density and the stochastic terms in orderto investigate properties of the solution. This talk is based on a joint work with G. Dhariwal, F. Huber, A. Jüngel (Vienna University of Technology) and C. Kuehn (Technical University of Munich).



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