Post-doctoral researcher

University of Hamburg

Department of Mathematics

Bundesstrasse 55, 20146 Hamburg, DE

Email: roland.welter@uni-hamburg.edu , rwelter@bu.edu

Office: Geomatikum 119

After receiving my PhD from Boston University in May 2021, I have started a post-doctoral position with the TRR 181 project at the University of Hamburg.

## Research Interests

I am interested in the amazing ability of mathematics to describe patterns in the natural world, and how the clarity gained from mathematics can give one insights into phenomena which would otherwise be beyond our ability to comprehend. All types of mathematics interest me, but a brief list of my subjects I'm actively researching in is as follows:

- Partial differential equations
- Navier-Stokes equations
- Chaotic dynamical systems
- Atmospheric dynamics

In this day and age the threat of climate change looms large and studying the effects of climate change seems vitally important. During graduate school I spent much of my time studying the Navier-Stokes equations to gain insights into weather and climate models.

During the fall 2021 semester I have started a post-doctoral research position at the University of Hamburg as part of the TRR 181 project. I am working with Prof. Jens Rademacher to determine bounds on the heat transport in turbulent geophysical flows. The TRR 181 has produced several videos explaining aspects of the projects which are accessible for non-scientists:

Be sure to check them out!## Publications

Accepted publications:

- Time Averages and Periodic Attractors at High Rayleigh Number for Lorenz-like Models by Ovsyannikov, I., Rademacher, J.D.M., Welter, R., Lu, B.
- Asymptotic approximation of a modified compressible Navier-Stokes system by Ryan Goh, C. Eugene Wayne and Roland Welter

Preprints:

- Rotating Rayleigh-Benard convection: Attractors, bifurcations and heat transport via a Galerkin hierarchy by Welter, R.
- Time Averages and Periodic Attractors at High Rayleigh Number for Lorenz-like Models by Ovsyannikov, I., Rademacher, J.D.M., Welter, R., Lu, B.
- Asymptotic approximation of a modified compressible Navier-Stokes system by Ryan Goh, C. Eugene Wayne and Roland Welter

## Teaching

Past:

- Fall 2020: Teaching Assistant - Statistics 2
- Spring 2020: Instructor - Calculus 1
- Summer 2017: Instructor - Probability
- Spring 2017: Teaching Assistant - Multivariable Calculus