3 papers
math.PR2025
Ergodicity for stochastic neural field equations
Anna-Mariya Otsetova, Jonas M. Tölle
We investigate the well-posedness and long-time behavior of a general continuum neural field model with Gaussian noise on possibly unbounded domains. In particular, we give conditi…
math.AP2024
Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations
Anna-Mariya Otsetova, Erik Wahlén, Jörg Weber
We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. Explicit solutions to such a water wave problem are static c…
math.CV2021
Properties of the Ahlfors function
Anna-Mariya Otsetova
The so called Ahlfors function is the solution to an extremal problem. In this thesis, we study several properties of this function in a most general domain Omega. We consider the…