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math.PR2026
Stochastic Flows with Strong Shear - Part I: Strong Completeness and Set Attractors
Dennis Chemnitz, Maximilian Engel, Michael Scheutzow
We study strong completeness and the existence of a set attractor for the stochastic flows induced by a class of two-dimensional stochastic differential equations resembling a plan…
math.PR2025
Mixing at the Batchelor Scale for White-In-Time Flows
Robin Chemnitz, Dennis Chemnitz
We consider the mixing properties of solutions to the advection-diffusion equation of a white-in-time velocity field on the 2-dimensional torus with four forced modes. As the diffu…