Dr. Thomas Eiter

Thomas Eiter
Address:
Weierstrass Institute for Applied Analysis and Stochastics
Mohrenstraße 39
10117 Berlin, Germany
Phone: +49(0) 30 20372 398
Fax: +49(0) 30 20372 311
Email: thomas.eiter(at)wias-berlin.de
ORCID: 0000-0002-7807-1349  

Scientific interests

My research focuses on the analysis of partial differential equations, usually associated to problems from fluid mechanics, where I mainly study questions of existence and the asymptotic behavior of solutions. For the investigation of strong solutions, I combine tools from harmonic analysis and linear operator theory with perturbation methods. I am also interested in generalized solution concepts for nonlinear PDEs, the examination of which requires methods from nonlinear functional analysis.


Activities


Thomas Eiter

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

Publications and Preprints

  1. Periodic Lp estimates by R-boundedness: Applications to the Navier–Stokes equations  (with Mads Kyed, Yoshihiro Shibata).  Preprint. arXiv:2204.11290, WIAS Preprint No. 2931.
  2. Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models  (with Katharina Hopf, Robert Lasarzik).  Preprint. arXiv:2112.07480, WIAS Preprint No. 2904.
  3. 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.
  4. On the Stokes-type resolvent problem associated with time-periodic flow around a rotating obstacle J. Math. Fluid Mech. 242022. [Link]  arXiv:2109.07949, WIAS Preprint No. 2876.
  5. Leray–Hopf solutions to a viscoelastic fluid model with nonsmooth stress-strain relation  (with Katharina Hopf, Alexander Mielke) Nonlinear Anal. Real World Appl. 652022. [Link]  arXiv:2104.05545, WIAS Preprint No. 2829.
  6. Spatial decay of the vorticity field of time-periodic viscous flow past a body  (with Giovanni P. Galdi) Arch. Rational Mech. Anal. 2422021. [Link]  arXiv:2011.12579, WIAS Preprint No. 2791.
  7. On the spatially asymptotic structure of time-periodic solutions to the Navier–Stokes equationsProc. Amer. Math. Soc. 1592021. [Link]  arXiv:2005.13268, WIAS Preprint No. 2727.
  8. Viscous Flow Around a Rigid Body Performing a Time-periodic Motion  (with Mads Kyed)J. Math. Fluid Mech. 232021. [Link]  arXiv:1912.04938.
  9. Falling drop in an unbounded liquid reservoir: Steady-state solutions  (with Mads Kyed, Yoshihiro Shibata).  Preprint. arXiv:1912.04925.
  10. On periodic solutions for one-phase and two-phase problems of the Navier–Stokes equations  (with Mads Kyed, Yoshihiro Shibata) J. Evol. Equ. 212021. [Link]  arXiv:1909.13558.
  11. New results for the Oseen problem with applications to the Navier–Stokes equations in exterior domains  (with Giovanni P. Galdi).  In: RIMS Kôokyûuroku 21712020. [Link]  arXiv:1904.01527.
  12. Estimates of time-periodic fundamental solutions to the linearized Navier–Stokes equations  (with Mads Kyed)J. Math. Fluid Mech. 202018. [Link]  arXiv:1610.09249.
  13. Time-Periodic Linearized Navier–Stokes Equations: An Approach Based on Fourier Multipliers  (with Mads Kyed).  In: Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová (eds.). Particles in Flows, Adv. Math. Fluid Mech.2017. [Link]

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.
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 Research assistant at the Department of Mathematics, 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: 2022-08-29 by Thomas Eiter