PhD Discussion Group
The PhD Discussion Group consists of members of young researchers from the Applied Analysis Group at the Heidelberg University. It is decoupled from any official event and purely serves as a platform to freely discuss research, science, current projects and/or related topics without our supervisors in virtue of networking and closer collaboration within our group.
Anyone from undergraduate student up to postdoctoral researcher is welcome to join. We meet on a basis once every two weeks to present informal talks followed by a discussion. If you are interested in joining, please do not hesitate to write an E-Mail to Denis to be added to the mailing list.
Discussion Sessions
Every two weeks, a volunteer prepares slides or an informal talk about topics, ideas and/or problems connected to a current research project. The talks are 30 to 45 minutes followed by a discussion.
By informal talk we understand a presentation which may not fully cover the research project i.e. neither a full picture of the area of research, nor in depth details of all the arguments of the presented project are required to be part of the presentation (unlike presentations given e.g. in conferences or summer schools). It is not only the results of projects we are interested in, but more so the ideas, methods and techniques. We are looking for presentations which allow the audience to ask questions and to understand the difficulty of the problem and its connection within various fields of mathematics in our group. Do not shy away from presenting incomplete projects or techniques, as we are participating in order to learn from and get to know each other.
The main scope of the seminar covers the working fields of the Applied Analysis Group, i.e. analysis of ordinary and partial differential equations, calculus of variations, modelling, as well as numerical methods and simulations applied to the aforementioned areas.
News
The next talk in the PhD Discussion Group will be held by Vlad Revnic on 06.05.2024, 2pm c.t. in INF 205, Seminarraum 08. The event will also be streamed, the link was distributed via mail.
Title: On Mañé's critical value for the Hunter-Saxton system
Abstract: We will study magnetic deformations of the Hunter-Saxton system, in the sense of magnetic geodesic flows. We represent this system as a Hamiltonian flow on an infinite dimensional Lie group and use this to study blow ups and construct global weak solutions of this system of nonlinear partial differential equations. Furthermore we will use the global weak magnetic flow on the infinite dimensional Lie group to prove that any two points in there can be connected by a magnetic geodesic as long as the strength of the magnetic field is less then Mañé's critical value.
Schedule
13.05.2024
27.05.2024
03.06.2024
10.06.2024
17.06.2024
08.07.2024
Levin Maier
Jonathan Fabiszisky
Leonie Langer
Camillo Tissot
Axel Wings
Leon Happ
On Mañé's critical value for the Hunter-Saxton system
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Archive
06.05.2024
29.04.2024
22.04.2024
29.01.2024
15.01.2024
Vlad Revnic
Lucas Schmitt
Michael Bleher
Van Phu Cuong Le
Jonas Peteranderl
An Introduction to viscosity solutions of Hamilton-Jacobi equations
Existence of Gradient Flows and its Application to Models related to Pattern Formation
RNA Velocity Embeddings in Curved Spaces - Exploring Cellular Dynamics
Energy minimizing maps with prescribed singularities and Gilbert-Steiner problems
Degenerate stability of the Caffarelli–Kohn–Nirenberg inequality along the Felli–Schneider curve
11.12.2023
04.12.2023
20.11.2023
06.11.2023
10.07.2023
19.06.2023
05.06.2023
22.05.2023
08.05.2023
23.01.2022
09.01.2023
Anna Tang
Carolin Lindow
Markus Gahn
Szymon Cygan
Tobias Schröder
Leon Happ
Carolin Lindow
Théo André
Denis Brazke
Finn Münnich
Moritz Mercker
The Bad QADs: Attempting to model Glioblastoma Multiforme
Operator Splitting Algorithm for a Structured Population Model on Metric Spaces
Homogenization for non-simple viscoelastic perforated materials
Discontinuous Stationary Solutions to Reaction-Diffusion-ODE systems
Discovering Optimal Control PDEs in Deep Generative Modelling
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev
spaces with variable exponents
Measure solutions for a structures population model of neurogenesis
The quest of Turing patterns in a receptor based model
Structure through competition
Stability results for bounded stationary solutions of reaction--diffusion--ODE systems
Pattern formation in biology: challenges and beauty
05.12.2022
21.11.2022
07.11.2022
31.10.2022
17.10.2022
11.07.2022
04.07.2022
13.06.2022
30.05.2022
02.05.2022
25.04.2022
14.02.2022
07.02.2022
17.01.2022
Jooa Hooli
Hendrik Baers
Leon Happ
Giovanni Covi
Levin Maier
Alexey Kazarnikov
Finn Münnich
Jooa Hooli
Markus Gahn
Diana Danciu
Camillo Tissot
Filip Klawe
Chris Kowall
Denis Brazke
Investigating potentially faulty dynamics in RNA velocity
Sharp Interface Approximations of the Cahn-Hilliard dynamics
A comparison of modern approaches to the puzzle of exchange rate dynamics
The inverse problem of fractional elasticity
Magnetic deformation of the Hunter-Saxton equation
Bayesian parameter estimation for mathematical models of self-organization
and biological pattern formation
Structured population models in the space of Radon measures
The role of interferons and age in maintenance and productivity of neural stem cells and progenitors
Homogenization and dimension reduction for fluid flow through a thin porous elastic layer
Mathematical modelling of stem cell dynamics in neurogenesis
On scaling results for a singular perturbed T3 structure and A-free mappings
Legendre transform: from classical mechanics to generalized Orlicz spaces.
From linear to nonlinear stability
About Bourgain-Brezis-Mironescu and harmonic analysis
20.12.2021
06.12.2021
22.11.2021
08.11.2021
18.10.2021
28.06.2021
14.06.2021
Ibrokhimbek Akramov
Alexey Kazarnikov
Christian Düll
Johannes Kammerer
Antonio Tribuzio
Filip Klawe
Denis Brazke
Minimal energy for geometrically nonlinear elastic inclusions
Statistical approach for parameter identification by pattern data
Measure differential equation with a nonlinear growth/decay term
Nile perch - size structured population model and observations
Energy scaling behaviour of wild microstructures in shape memory alloys
The unsolved problem: Stability of the arabidopsis model
Modelling pattern formation in tissue
21.12.2020
16.11.2020
31.08.2020
08.06.2020
18.05.2020
17.02.2020
Thomas Stiehl
Chris Kowall
Jonathan Fabiszisky
Denis Brazke
Hridya Varma
Johannes Kammerer
Mathematical modelling of stem cell dynamics with applications in Bio-Medicine
Uniform Shadow Limit Reduction for Reaction-Diffusion-ODE Systems
Analytical investigation of charged magnetic domain walls in thin films
Pattern formation and autocorrelation
Mathematical Modelling of Immunoregulatory Processes in Sepsis
Single species size structured model of Nile perch
Oganisers: Dr. Filip Klawe, Denis Brazke