Termin: Detail

OS Analysis-Probability: Alexandra Neamtu (University of Konstanz): Bifurcation theory for SPDEs: finite-time Lyapunov exponents and amplitude equations

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, G3 10 (Lecture hall)

Vortrag in der Reihe: OS Analysis-Probability We consider a stochastic partial differential equation close to bifurcation of pitchfork type, where a one-dimensional space changes its stability. For finite-time Lyapunov exponents we characterize regions depending on the distance from bifurcation and the noise strength where finite-time Lyapunov exponents are positive and thus detect changes in stability. One technical tool is the reduction of the essential dynamics of the infinite dimensional stochastic system to a simple ordinary stochastic differential equation, which is valid close to the bifurcation. This talk is based on joint works with Alex Blumenthal, Maximilian Engel and Dirk Blömker.

No Attachment

Beginn: 20. Juni 2023 16:45

Ende: 20. Juni 2023 18:15