Jan-Eric Sulzbach

Position: Postdoc at the Technische Universität München in the group of Prof. Christian Kuehn, Research Unit Dynamics (M8)
Email: janeric.sulzbach@tum.de
Room: MI 03.06.021 (Boltzmannstr. 3, 85748 Garching )

Research Interest:

Fluid Mechanics and Thermodynamics
(Nonlinear) Partial Differential Equations with applications to phase separation, chemical reactions and the Navier-Stokes equations
Multiscale Dynamical Systems with the focus on Fast-Slow equations
Geometric Singular Perturbation Theory for infinite-dimensional systems

Publications:

Preprints:

Energetic Derivation and Geometric Reduction of Reaction-Diffusion Systems with Holling-Type Functional Responses , arXiv preprint arXiv:2507.06319 (2025)
(with Christian Kuehn) Approximate Slow Manifolds in the Fokker-Planck Equation , arXiv preprint arXiv:2501.18981 (2025)
(with Laurent Desvillettes, Christian Kuehn, Jan-Eric Sulzbach, Bao Quoc Tang, Bao-Ngoc Tran) Slow Manifolds for PDE with Fast Reactions and Small Cross Diffusion, arXiv preprint arXiv:2501.16775 (2025)
(with Chun Liu, Yiwei Wang) Non-isothermal diffuse interface model for phase transition and interface evolution, arXiv preprint arXiv2408.09749 (2024) (accepted in SIAM Journal on Applied Mathematics)

Journal Publications:

(with Chun Liu, Yiwei Wang) On a Continuum Model for Random Genetic Drift: A Dynamical Boundary Condition Approach , Communications in Analysis and Mechanics, 17(3), pp. 829–848 (2025), (arXiv preprint)
(with Christian Kuehn) Fast Reactions and Slow Manifolds, Nonlinear Differential Equations and Applications, 32 (72), pp. 1-43 (2025), (arXiv preprint)
(with Christian Kuehn, Pascal Lehner) Infinite dimensional Slow Manifolds for a Linear Fast-Reaction System, Contemporary Mathematics, AMS, Vol. 806, pp. 87-104, 2024 , (arXiv preprint)
(with Francesco De Anna, Chun Liu, Anja Schlömerkemper) Temperature dependent extensions of the Cahn-Hilliard equation, Nonlinear Analysis: Real World Applications, 77, (2024), (arXiv preprint)
(with Chun Liu) Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space, Journal of Differential Equations, 325, pp. 119-149,(2022), (arXiv preprint)
(with Chun Liu) The Brinkman-Fourier System with Ideal Gas Equilibrium, Discrete & Continuous Dynamical Systems, 42 (1), pp. 425-462, (2022), (arXiv preprint)

Thesis: Thermal Effects in Fluid Dynamics, PhD Advisor Chun Liu, Illinois Institute of Technology 11/2021

Talks and Presentations

Frontiers in Applied Analysis Workshop, Carnegie Mellon University, Pittsburgh (PA), June 2025
SIAM DS 25, Denver (CO), May 2025
Conference on Multiscale and Nonlocal Problems in PDE, Palermo, June 2024
Equadiff 2024, Minisymposium on Singularly Perturbed Systems, Karlstadt University, June 2024
SIAM MS 24, Minisymposium on Defects in Complex Materials: Interplay between Theory and Computation, Pittsburgh (PA), May 2024
11th workshop of the GAMM activity group "Analysis of Partial Differential Equations", Eichstätt, September 2023
Research stay, with Tai-Chia Lin at National Taiwan University, June 2023
SIAM DS 23, Minisymposium on Singular Perturbation Methods for Multi-Scale Infinite-Dimensional Systems, Portland (OR), May 2023 (organization and talk)
Research stay, with Chun Liu at Illinois Institute of Technology, May 2023
KWIM Conference on Cross-Diffusion Systems: analysis and stochastic, University of Konstanz, March 2023
2022 AMS Spring Central Virtual Sectional Meeting, Special Session on Nonlinear Partial Differential Equations from Variational Problems and Complex Fluids, March 2022
2022 AMS Spring Eastern Virtual Sectional Meeting, Special Session on Mathematical Modeling in Biology and Medicine, March 2022
Oberseminar Mathematik in den Naturwissenschaften, University of Würzburg, December , 2021
V Workshop on Fluids and PDE , Poster presentation, September 2021
Multiscale Seminar, Illinois Institute of Technology, November, 2020
Oberseminar Mathematik in den Naturwissenschaften, University of Würzburg, May , 2020

Teaching Experience

Teaching:

Summer 2023, (Haupt-)Seminar PDE Dynamics (jointly with Prof. Kuehn)

Teaching Assistant (@TUM):

Summer 2025, Analysis 2 für Physiker
Winter 2024, Höhere Mathematik 3 für MW/CiW
Summer 2024, Analysis 2

Teaching Assistant (@IIT):

Spring 2021, Calculus II (Math 152)
Spring 2021, ODE/ Dynamical Systems (Math 488/Math 515)
Spring 2020, Linear Algebra (Math 332)
Spring 2019, Calculus II (Math 152)
Fall 2018, Calculus I (Math 151)

Mentoring:

Summer 2025, TUM Master Thesis of Aliaksei Kuzmenka
Summer 2024, TUM Master Thesis of Xuexing Zhao
Winter 2022, TUM Master Thesis of Pascal Lehner

Professional Activities

Coordinator of the Multiscale Seminar @ IIT Summer 2020 - Spring 2022
2021 Karl Menger Award for Exceptional Scholarship
Treasurer of the SIAM student chapter at IIT Fall 2019 - Summer 2021

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