FAU DCN-AvH Jr. Seminar

Next Thursday May 16, 2024:

Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)

12:00H
Title: Exploring the Dynamics of Phase Transitions: A Journey into Gamma-Convergence
Speaker: Christopher Sorg
Affiliation: PhD student at FAU DCN-AvH – Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.

Abstract. This presentation delves into the fascinating realm of phase transitions, unraveling the intricacies through the lens of Gamma-Convergence. The centerpiece of our exploration is the renowned Modica-Mortola theorem, a cornerstone result shedding light on the behavior of phase transitions in variational problems. Additionally, we illuminate the path to understanding Gamma-Convergence within a metric space framework, offering a concrete example to illustrate its application. Join us on this journey as we uncover the underlying structures governing phase transitions, from theoretical foundations to practical demonstrations.

12:30H
Title: Fokker-Planck-equations, renormalized solutions and (a little bit) optimal control
Speaker: Christian Lange
Affiliation: PhD student at FAU DCN-AvH – Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.

Abstract. The talk is about the topics of my Master thesis and my beginning PhD-project “Renormalized solutions in optimal control”. We are going to look at a solution technique for PDEs, renormalized solutions, for the example of a Fokker-Planck-equation with low regular drift (of bounded variation in space). This is based on a paper of Dejun Luo, “Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients”. At the end of the talk I give a little glimpse on the problems concerning optimal control of this equation.

WHEN

Thu. May 16, 2024 at 12:00H

WHERE

On-site: Room 03.323
Friedrich-Alexander-Universität Erlangen-Nürnberg
Cauerstraße 11, 91058 Erlangen
GPS-Koord. Raum: 49.573764N, 11.030028E

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