Dr. Lars Eric Hientzsch
-
by appointment
-
Kollegiengebäude Mathematik (20.30)
3.037
+49 721 608 43038
-
lars.hientzsch@kit.edu
-
Englerstrasse 2
76131 Karlsruhe, Germany
Welcome
I am a junior research group leader at the Institut for Analysis within the Department of Mathematics at KIT.
Please refer to my group's webpage "Vortices and nonlinear waves" for more details on its activities.
Further, I am a member of the collaborative research center CRC1173 Wave phenomena, where I lead the associated project AP9.
Last but not least, I am part of the CRC's running team waves@kit.
Currently, there is an open PhD position in my research group.
If you are interested in writing a Master's thesis on a topic aligned with my research activity, please feel free to reach out by mail.
Research interests
My research primarily concerns the mathematical analysis of nonlinear PDEs arising in the description of (geo-)physical and quantum fluid flow, often related to the propagation and interaction of nonlinear waves.
Motivated by relevant physical applications, I am particularly interested in the study of coherent structures such as (quantised) vortices and vortex filaments.
The main results of my research concern the well- and ill-posedness of related equations, the hydrodynamic stability and the characterisation of relevant asymptotic dynamics such as the dynamics of vortices and vortex filaments.
The mathematical techniques I employ stem a.o. from Fourier Analysis and the theory for dispersive, hyperbolic and transport equations.
You can find a list of my publications on my google scholar, zbMath Open or arXiv profile.
Recent and upcoming events
- Workshop on Harmonic Analysis and Fluid Flow, Bad Herrenalb, 16-20 June 2025, click here for details.
- PDE Kolloqium Münster, Universität Münster, 27 May 2025, click here for details.
- Mathematical Analysis Seminar, University of L'Aquila, 22 May 2025, click here for details.
- Turbulence on the Banks of the Arno , Scuola normale superiore Pisa, 28-30 April 2025, click here for details.
- Research visit at Institut Fourier, University Grenoble Alpes, invited by Christophe Lacave, 16-18 April 2025.
- Coherent structuces and (in)stabilities in fluids, Gran Sasso Science Institute, 7-11 April 2025, click here for details.
- CRC1173 Annual Meeting, Neustadt an der Weinstrasse, 31 March - 4 April 2025, click here for details.
- Conference on Mathematics of Wave Phenomena, 24-28 February 2025. Together with Zihui He (Bielefeld University) and Tobias Schmid (EPF Lausanne), I am co-organizing the mini-symposium (In-)Stability, Dispersion and Weak Turbulence: From Fluid Flow to Hamiltonian Systems at the Conference on Mathematics for Wave Phenomena in Karlsruhe, click here for details.
Short bio
Before joining KIT, I have been a post-doc fellow in the research group of Sebastian Herr at Bielefeld University where I conducted my research within the project A1 of the Collaborative Research Center 1283. Prior to that, I have been a post-doc fellow at the Institut Fourier, University of Grenoble Alpes, mentored by Thierry Gallay, Christophe Lacave and Evelyne Miot.
My PhD thesis completed at Gran Sasso Science Institute (2019) under the supervision of Paolo Antonelli and Pierangelo Marcati concerns the mathematical analysis of some hydrodynamic models describing quantum fluids and singular limits for these systems.