Dr. Thomas Eiter
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Scientific interests
My research focuses on mathematical fluid mechanics
and the analysis of associated partial differential equations.
Current teaching activitiesIn the winter term 2022/23, I gave the lecture course "Multidimensional calculus of variations" at Humboldt-Universität zu Berlin, together with Matthias Liero. For further information, please visit the moodle website (Link). Other activities
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Giving the Junior Richard-von-Mises-Lecture
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Publications and preprints
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Viscous flow past a translating body with oscillating boundary.
Preprint. arXiv:2303.09592 WIAS Preprint No. 3000.
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Existence of energy-variational solutions to hyperbolic conservation laws.
Preprint. arXiv:2211.12307 WIAS Preprint No. 2974.
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Periodic Lp estimates by R-boundedness: Applications to the Navier–Stokes equations.
Preprint. arXiv:2204.11290 WIAS Preprint No. 2931.
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Falling drop in an unbounded liquid reservoir: Steady-state solutions.
J. Math. Fluid Mech. 25, 2023. [Link] arXiv:1912.04925.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Viscous flow around a rigid body performing a time-periodic motion.
J. Math. Fluid Mech. 23, 2021. [Link] arXiv:1912.04938.
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On periodic solutions for one-phase and two-phase problems of the Navier–Stokes equations.
J. Evol. Equ. 21, 2021. [Link] arXiv:1909.13558.
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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.
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Estimates of time-periodic fundamental solutions to the linearized Navier–Stokes equations.
J. Math. Fluid Mech. 20, 2018. [Link] arXiv:1610.09249.
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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]
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Thesis
Existence and spatial decay of periodic Navier–Stokes flows in exterior domains. 2020. (Logos Verlag Berlin, TUprints)
Short CV
Since Apr 2020 | Member of 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 | Member of 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: 2023-07-26 by Thomas Eiter