Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

seminar: Stochastic Dynamics near a Bifurcation - Amplitude Equations

speaker: Dirk Blömker (University of Augsburg )

abstract: We present rigorous results on the approximation of SPDEs via amplitude equations near a change of stability. For simplicity, the main results are presented for the Swift-Hohenberg equation only. Applications are given, which provide qualitative properties for invariant measures and random attractors, and results for pattern formation below threshold of stability.

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