In the winter term 2023/24, I am a subsitute professor at the Institute of Mathematics
of the University of Kassel.
Moreover, I am a postdoctoral researcher within the group Partial Differential Equations
at the Weierstrass Institute of Applied Analysis and Stochastics.
Scientific interests
My research focuses on mathematical fluid mechanics
and the analysis of associated partial differential equations.
One of my research topics concerns the motion of fluids in unbounded domains, for example, the flow past an obstacle.
Here, one difficulty is that a functional framework has to reflect the spatially asymptotic proporties of the flow
in order to be suitable for establishing existence of stationary or timeperiodic solutions to the corresponding Navier–Stokes equations.
I am also interested in the more precise study of the farfield behavior of the fluid flow in terms of fundamental solutions and the theory of singular integrals.
Moreover, I investigate classes of nonlinear PDEs where standard concepts like strong and weak solutions reach their limits,
and a proper analysis requires the introduction of more generalized notions of solutions.
In particular, I study solution concepts inspired by energetic considerations, using methods from nonlinear functional analysis and calculus of variations.
This is also a topic of the project
Analysis of energyvariational solutions for hyperbolic conservation laws
associated to the SPP 2410.
➤ Teaching

lecture course "Funcional analysis"
at University of Kassel, winter term 2023/24
(moodle course)

student seminar "Fachwissenschaftliches Seminar Mathematik, Lehramt Grundschule"
at University of Kassel, winter term 2023/24
(moodle course)

student seminar "Fachwissenschaftliches Seminar Mathematik, Lehramt Haupt und Realschule"
at University of Kassel, winter term 2023/24
(moodle course)

lecture course "Multidimensional calculus of variations"
at HumboldtUniversität zu Berlin, winter term 2022/23
(moodle course)

lecture course "Treffpunkt Mathematik III für Maschinenbau"
at Technical University of Darmstadt, winter term 2019/20
➤ Other activities
➤ Publications and preprints

T. Eiter, Y. Shibata.
Viscous flow past a translating body with oscillating boundary.
Preprint.
arXiv:2303.09592
WIAS Preprint No. 3000.

T. Eiter, R. Lasarzik.
Existence of energyvariational solutions to hyperbolic conservation laws.
Preprint.
arXiv:2211.12307
WIAS Preprint No. 2974.

T. Eiter, M. Kyed, Y. Shibata.
Periodic Lp estimates by Rboundedness: Applications to the Navier–Stokes equations.
Acta Appl. Math.
188,
2023.
[Link]
arXiv:2204.11290
WIAS Preprint No. 2931.

T. Eiter, M. Kyed, Y. Shibata.
Falling drop in an unbounded liquid reservoir: Steadystate solutions.
J. Math. Fluid Mech.
25,
2023.
[Link]
arXiv:1912.04925.

T. Eiter.
On the regularity of weak solutions to timeperiodic Navier–Stokes equations in exterior domains.
Mathematics
11 (1),
2023.
[Link]
arXiv:2212.00429
WIAS Preprint No. 2979.

T. Eiter, K. Hopf, R. Lasarzik.
Weakstrong uniqueness and energyvariational solutions for a class of viscoelastoplastic fluid models.
Adv. Nonlinear Anal.
12 (1),
2023.
[Link]
arXiv:2112.07480
WIAS Preprint No. 2904.

T. Eiter.
On the Oseentype resolvent problem associated with timeperiodic flow past a rotating body.
SIAM J. Math. Anal.
54 (4),
2022.
[Link]
arXiv:2111.00984
WIAS Preprint No. 2888.

T. Eiter.
On the Stokestype resolvent problem associated with timeperiodic flow around a rotating obstacle.
J. Math. Fluid Mech.
24,
2022.
[Link]
arXiv:2109.07949
WIAS Preprint No. 2876.

T. Eiter, K. Hopf, A. Mielke.
Leray–Hopf solutions to a viscoelastic fluid model with nonsmooth stressstrain relation.
Nonlinear Anal. Real World Appl.
65,
2022.
[Link]
arXiv:2104.05545
WIAS Preprint No. 2829.

T. Eiter, G. P. Galdi.
Spatial decay of the vorticity field of timeperiodic viscous flow past a body.
Arch. Rational Mech. Anal.
242,
2021.
[Link]
arXiv:2011.12579
WIAS Preprint No. 2791.

T. Eiter.
On the spatially asymptotic structure of timeperiodic solutions to the Navier–Stokes equations.
Proc. Amer. Math. Soc.
159,
2021.
[Link]
arXiv:2005.13268
WIAS Preprint No. 2727.

T. Eiter, M. Kyed.
Viscous flow around a rigid body performing a timeperiodic motion.
J. Math. Fluid Mech.
23,
2021.
[Link]
arXiv:1912.04938.

T. Eiter, M. Kyed, Y. Shibata.
On periodic solutions for onephase and twophase problems of the Navier–Stokes equations.
J. Evol. Equ.
21,
2021.
[Link]
arXiv:1909.13558.

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

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

T. Eiter, M. Kyed.
Estimates of timeperiodic fundamental solutions to the linearized Navier–Stokes equations.
J. Math. Fluid Mech.
20,
2018.
[Link]
arXiv:1610.09249.

T. Eiter, M. Kyed.
Timeperiodic 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]
➤ Short CV

Giving the Junior RichardvonMisesLecture
(June 17, 2022)
