Partial Differential Equations in Mathematical Physics

VDSP Academy 2021

Monday, 23 Aug 2021 - Friday, 3 Sep 2021
online event
univie: summer school

We invite Master and advanced Bachelor students of physics and mathematics from all over the world to virtually join us in Vienna for keynote talks and hands-on tutorials on Partial Differential Equations in Mathematical Physics.
The VDSP Academy 2021 presents an overview on the field of evolutionary PDEs in the context of physical systems.
In a first part the methods necessary to study a wide range of PDEs will be introduced and reviewed with a focus on their applicability to the problems at hand.
In a second part specific types of PDEs will be discussed and their solutions will be analysed by use of the aforementioned methods. The classes of equations considered in the course range from nonlinear wave equations and Schrödinger equations to Euler equations and the heat flow. This course will provide the audience with a survey of the field with references to further advanced courses, which respectively concern the specific topics.


Week 1: Roland Donninger

Dispersive PDEs at the Faculty of Mathematics

My field of research is the theory of nonlinear partial differential equations. At the moment I am mainly interested in nonlinear wave equations originating in mathematical physics, general relativity, and geometry. The analysis of these equations requires tools from different areas of mathematics. As a consequence, I also work in spectral theory, semigroup theory, harmonic analysis, differential geometry, and numerics. On the physical side, my main interests lie in general relativity and mathematical physics.


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Week 2: David Fajman

Gravitational Physics at the Faculty of Physics

I work in the field of Geometric Analysis with applications to Mathematical Relativity. I am interested in the dynamics of of gravitational waves and their interaction with matter and in the consequences for various open questions in cosmology.


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09.00 - 10.30Lecture
10.30 - 11.00Coffee break
11.00 - 12.30Lecture
12.30 - 15.00Lunch break and preparation time for tutorial
15.00 - 16.30Tutorial




A social event will provide the opportunity of engaging in further conversations and fostering interactions between all participants of the VDSP Academy.


Please note that this is a public event. We reserve the right to take pictures for the purpose of publishing impressions of the event on the website. If you do not want to be in a picture please approach the organizers of the VDSP Academy anytime.


The VDSP Academy on Partial Differential Equations in Mathematical Physics is organized by the Vienna Doctoral School in Physics (VDSP). We highly appreciate the financial support by the Faculty of Mathematics and the Vienna School of Mathematics. The organizing committee comprises David FajmanRoland Donninger and ChristianeM Losert-Valiente Kroon.