Former doctoral student in the working group of Prof. Dr. Röckner.

Office: V4-128
Phone: +49-(0)521-106-4759
E-mail: aschenke-AT-math.uni-bielefeld.de

Stochastic Analysis

Stochastic Partial Differential Equations, in particular hydrodynamical SPDEs

Dynamical Systems

Linear Dynamics

Convex integration approach to fluid dynamical PDEs.

1. M. Rehmeier, A. Schenke, Nonuniqueness in law for stochastic hypodissipative Navier--Stokes equations, Preprint, 2021.
2. A. Schenke, The Stochastic Tamed MHD Equations -- Existence, Uniqueness and Invariant Measures, Stoch. PDE: Anal. Comp., 2021.
3. A. Schenke, The Tamed MHD Equations, J. Evol. Equ., 2020.
4. B. Gess, W. Liu, A. Schenke, Random attractors for locally monotone stochastic partial differential equations , J. Diff. Equ., 269, No. 4, pp. 3414-3455 (2020).
5. W.-J. Beyn, T. Hüls, A. Schenke, Symbolic Coding for Noninvertible Systems: Uniform Approximation and Numerical Computation, Nonlinearity, 29, No. 11, pp. 3346-3384 (2016).
6. A. Schenke, S. Shkarin, Hypercyclic operators on countably-dimensional spaces, J. Math. Anal. Appl., 401, No. 1, pp. 209-217 (2013).

A. Schenke, Regularisation and Long-Time Behaviour of Random Systems. Universität Bielefeld, 2020.