Dr. Thomas Eiter

Thomas Eiter

Address:
Weierstrass Institute for Applied
Analysis and Stochastics
Anton-Wilhelm-Amo-Str. 39
10117 Berlin, Germany

Phone: +49(0) 30 20372 398

Fax: +49(0) 30 20372 311

Email: thomas.eiter(at)wias-berlin.de

ORCID: ORCID logo 0000-0002-7807-1349

Giving the Junior Richard-von-Mises-Lecture
Junior Richard-von-Mises-Lecture
June 17, 2022

I am a Young Investigator in the Collaborative Research Centre CRC 1114: Scaling Cascades in Complex Systems at Freie Universität Berlin. Moreover, I am a member of the research group Partial Differential Equations at the Weierstrass Institute of Applied Analysis and Stochastics.

Scientific Interests

My research focuses on the mathematical analysis of partial differential equations, usually motivated by problems from continuum mechanics, in particular, fluid mechanics. I am interested in questions related to:

  • existence and construction of solutions,
  • generalized solution concepts,
  • time-periodic solutions,
  • problems in unbounded domains,
  • asymptotic properties of solutions,
  • complex continuum models,
  • effective models and asymptotic regimes.

Research Projects

2024 – 2026
Young Investigator Project
Collaborative Research Centre CRC 1114: Scaling Cascades in Complex Systems
Freie Universität Berlin
2023 – 2026
Analysis of energy-variational solutions for hyperbolic conservation laws
First funding phase of SPP-2410: Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness

Recent Preprints

  1. T. Eiter, Š. Nečasová, F. Oschmann
    Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body
    Preprint. arXiv:2606.02517 WIAS Preprint No. 3289.
  2. T. Eiter, R. Lasarzik, E. Wiedemann
    On the equivalence of generalized solution concepts for systems of hyperbolic conservations laws in fluid dynamics
    Preprint. arXiv:2604.00957 WIAS Preprint No. 3273.
  3. T. Eiter, J. Giesselmann, R. Lasarzik, P. Öffner, R. Sauerborn
    Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
    Preprint. arXiv:2603.29880 WIAS Preprint No. 3272.
  4. T. Eiter, R. Lasarzik, M. Śliwiński
    Existence and selection of solutions in the energy-variational framework with applications in fluid dynamics
    Preprint. arXiv:2601.20455
  5. T. Eiter
    Solution concepts for a model of visco-elasto-plasticity with slight compressibility
    Preprint. arXiv:2512.17464 WIAS Preprint No. 3252.
  6. T. Eiter, A. L. Silvestre
    Approximation of time-periodic flow past a translating body by flows in bounded domains
    Preprint. arXiv:2507.23697 WIAS Preprint No. 3206.

Peer-Reviewed Articles

  1. T. Eiter, S. Schindler
    Time-asymptotic self-similarity of the damped compressible Euler equations in parabolic scaling variables
    Nonlinear Analysis 271:114124, 2026. [Link] arXiv:2507.03688 WIAS Preprint No. 3207.
  2. T. Eiter, L. Schmeller
    Weak solutions to a model for phase separation coupled with finite-strain viscoelasticity subject to external distortion
    Math. Models Methods Appl. Sci. 35 (11), 2025. [Link] arXiv:2409.07066 WIAS Preprint No. 3130.
  3. T. Eiter, A. L. Silvestre
    Representation formulas and far-field behavior of time-periodic flow past a body
    Nonlinear Differ. Equ. Appl. 32:37, 2025. [Link] arXiv:2402.12213 WIAS Preprint No. 3091.
  4. T. Eiter, Y. Shibata
    Viscous flow past a translating body with oscillating boundary
    J. Math. Soc. Japan 77 (1), 2025. [Link] arXiv:2303.09592 WIAS Preprint No. 3000.
  5. T. Eiter, R. Lasarzik
    Existence of energy-variational solutions to hyperbolic conservation laws
    Calc. Var. 63, 2024. [Link] arXiv:2211.12307 WIAS Preprint No. 2974.
  6. T. Eiter, M. Kyed, Y. Shibata
    Periodic Lp estimates by R-boundedness: Applications to the Navier–Stokes equations
    Acta Appl. Math. 188, 2023. [Link] arXiv:2204.11290 WIAS Preprint No. 2931.
  7. T. Eiter, M. Kyed, Y. Shibata
    Falling drop in an unbounded liquid reservoir: Steady-state solutions
    J. Math. Fluid Mech. 25, 2023. [Link] arXiv:1912.04925.
  8. T. Eiter
    On the regularity of weak solutions to time-periodic Navier–Stokes equations in exterior domains
    Mathematics 11 (1), 2023. [Link] arXiv:2212.00429 WIAS Preprint No. 2979.
  9. T. Eiter, K. Hopf, R. Lasarzik
    Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models
    Adv. Nonlinear Anal. 12 (1), 2023. [Link] arXiv:2112.07480 WIAS Preprint No. 2904.
  10. T. Eiter
    On the Oseen-type resolvent problem associated with time-periodic flow past a rotating body
    SIAM J. Math. Anal. 54 (4), 2022. [Link] arXiv:2111.00984 WIAS Preprint No. 2888.
  11. T. Eiter
    On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle
    J. Math. Fluid Mech. 24, 2022. [Link] arXiv:2109.07949 WIAS Preprint No. 2876.
  12. T. Eiter, K. Hopf, A. Mielke
    Leray–Hopf solutions to a viscoelastic fluid model with nonsmooth stress-strain relation
    Nonlinear Anal. Real World Appl. 65, 2022. [Link] arXiv:2104.05545 WIAS Preprint No. 2829.
  13. T. Eiter, G. P. Galdi
    Spatial decay of the vorticity field of time-periodic viscous flow past a body
    Arch. Rational Mech. Anal. 242, 2021. [Link] arXiv:2011.12579 WIAS Preprint No. 2791.
  14. T. Eiter
    On the spatially asymptotic structure of time-periodic solutions to the Navier–Stokes equations
    Proc. Amer. Math. Soc. 159, 2021. [Link] arXiv:2005.13268 WIAS Preprint No. 2727.
  15. T. Eiter, M. Kyed
    Viscous flow around a rigid body performing a time-periodic motion
    J. Math. Fluid Mech. 23, 2021. [Link] arXiv:1912.04938.
  16. T. Eiter, M. Kyed, Y. Shibata
    On periodic solutions for one-phase and two-phase problems of the Navier–Stokes equations
    J. Evol. Equ. 21, 2021. [Link] arXiv:1909.13558.
  17. T. Eiter, M. Kyed
    Estimates of time-periodic fundamental solutions to the linearized Navier–Stokes equations
    J. Math. Fluid Mech. 20, 2018. [Link] arXiv:1610.09249.

Book Contributions

  1. T. Eiter, M. Kyed
    Time-periodic linearized Navier–Stokes equations: An approach based on Fourier multipliers
    In: T. Bodnár, G. P. Galdi, Š. Nečasová (eds.). Particles in flows, Adv. Math. Fluid Mech., 2017. [Link]

Conference Proceedings

  1. T. Eiter, G. P. Galdi
    New results for the Oseen problem with applications to the Navier–Stokes equations in exterior domains
    In: RIMS Kôkyûroku 2171, 2020. [Link] arXiv:1904.01527.

Dissertation Thesis

  1. T. Eiter
    Existence and spatial decay of periodic Navier–Stokes flows in exterior domains
    PhD thesis, 2020. (Logos Verlag Berlin, TUprints)

Teaching Activities

Winter term 2024/25
Introduction to mathematical modeling with partial differential equations
Lecture course
Freie Universität Berlin
Summer term 2024
Harmonic analysis
Lecture course
University of Kassel
Summer term 2024
Analysis
Student seminar
University of Kassel
Winter term 2023/24
Functional analysis
Lecture course
University of Kassel
Winter term 2023/24
Fachwissenschaftliches Seminar Mathematik, Lehramt Grundschule
Student seminar
University of Kassel
Winter term 2023/24
Fachwissenschaftliches Seminar Mathematik, Lehramt Haupt- und Realschule
Student seminar
University of Kassel
Winter term 2022/23
Multidimensional calculus of variations
Lecture course
Humboldt-Universität zu Berlin
Winter term 2019/20
Treffpunkt Mathematik III für Maschinenbau
Lecture course
Technical University of Darmstadt

Organizational Activities

Since Dec 2021
Materials Modeling
Seminar at WIAS Berlin
Seminar website
Sep 9 – 11, 2026
Recent developments in stochastic homogenization in continuum mechanics
Minisymposium at CRC1114 Conference 2026, Freie Universität Berlin
Conference website
Sep 29 – Oct 1, 2025
Mathematical Analysis of Fluid Flows by Variational Methods
International Workshop at WIAS Berlin
Workshop website
Aug 20 – 25, 2023
Limit behavior and asymptotic properties in fluid mechanics
Minisymposium at ICIAM 2023, Tokyo
Conference website
Jun 20 – 21, 2022
Young Researchers' Forum on Mathematical Fluid Mechanics
International workshop, Online
Workshop website
Mar 14 – 18, 2022
Recent Developments in the Mathematical Analysis of Viscous Fluids
Minisymposium at SIAM PD22, Online
Conference website

Short CV

Since Oct 2024 Young Investigator in the Collaborative Research Centre CRC 1114: Scaling Cascades in Complex Systems at Freie Universität Berlin
Oct 2023 – Sep 2024 Interim professor ('Vertretungsprofessor') at the Institute of Mathematics of the University of Kassel
Apr 2020 – Sep 2023 Postdoctoral position in the research group Partial Differential Equations at the Weierstrass Institute of Applied Analysis and Stochastics
Feb 2020 Doctoral defense at Technical University of Darmstadt
Advisors: Prof. Mads Kyed (Flensburg), Prof. Reinhard Farwig (Darmstadt), Prof. Giovanni P. Galdi (Pittsburgh)
Oct 2016 – Mar 2020 Doctoral position in the Analysis Group at the Department of Mathematics of the Technical University of Darmstadt, and assistant in the project KI2VA
Oct 2014 – Sep 2016 Studies M.Sc. Mathematics at Technical University of Darmstadt
Oct 2011 – Sep 2014 Studies B.Sc. Mathematics at Technical University of Darmstadt

Last modified: 2026-06-02