Hannes Meinlschmidt

Assistant Professor

I am an assistant professor (W1) at the chair for Dynamics, Control and Numerics at FAU Friedrich-Alexander-Universität Erlangen-Nürnberg since March 2021. I am working on optimal control of partial differential equations and applied analysis in general. I obtained both my Diploma (Oct 2011) and PhD (Mar 2017) in mathematics at TU Darmstadt, Germany; my PhD supervisor was Stefan Ulbrich. I then moved to RICAM in Linz, Austria, for a PostDoc position in the “Optimization and Optimal Control” group of Karl Kunisch, in Sept 2017.

My research interests concern problems at the intersection of (optimal) control and optimization with the analysis of PDEs. This includes regularization aspects on the optimization side and regularity theory for elliptic and parabolic evolution equations on the analysis side. The research questions I consider are motivated mostly by optimal control problems subject to strongly nonlinear (coupled systems of) time-dependent PDEs, or real-world applications with nonsmooth data.

Check my resources

Derivation of the pressure function Code: Files to run: nocircle.m, onecircle.m or twocircles.m   1 Introduction This post presents the results of my Bachelor thesis about the modeling and implementation of gas networks at stationary states. Using the isothermal Euler equations to describe the gas flow […]
Uniform Turnpike Property 1 Introduction In this post, we analyze a heat equation with rapidly oscillating coefficients dependent on a parameter , with a distributed control. We show that the uniform null controllability implies the uniform turnpike property, i.e., the turnpike property with constants independent of […]
Nonlinear hyperbolic systems: Modeling, controllabiliy and applications The control theory of hyperbolic systems is an important topic in continuum and fluid mechanics. Networks of nonlinear hyperbolic systems arise in real world applications, e.g. planar or out-of-plane networks of vibrating strings, shearable beams, gas networks and shallow […]
Kinetic theory of Bose Einstein Condensates If a dilute gas of bosons, about one-hundred-thousandth the density of normal air, is cooled to a temperature very close to absolute zero (0 K or -273.15C), the gas will be changed into a new state of matter, called Bose-Einstein […]
Transition Layers in Elliptic Equations By Maicon Sônego   Stable transition layers in an unbalanced bistable equation Consider the following semi-linear problem where are positive functions in ; is a positive parameter and We assume that the functions satisfy ; for all ; there is a […]
Lecture notes: A primer on functional Analytic methods for PDEs FAU DCN-AvH. Friedrich-Alexander Universität Erlangen-Nürnberg (Germany) Period: Summer semester 2021 These lecture notes cover topics suitable for an introductory 5 ECTS (2+1 weekly hours) primer on functional analytic methods in partial differential equations. The goal of […]
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