1.2k citations · 1.6k across the 54 of their papers we have counts for
15 papers · 1 filter
Viscous flow past a translating body with oscillating boundary
Thomas Eiter, Yoshihiro Shibata
We study an incompressible viscous flow around an obstacle with an oscillating boundary that moves by a translational periodic motion, and we show existence of strong time-periodic…
On the regularity of weak solutions to time-periodic Navier--Stokes equations in exterior domains
Thomas Eiter
Consider the time-periodic viscous incompressible fluid flow past a body with non-zero velocity at infinity. This article gives sufficient conditions such that weak solutions to th…
Existence of energy-variational solutions to hyperbolic conservation laws
Thomas Eiter, Robert Lasarzik
We introduce the concept of energy-variational solutions for hyperbolic conservation laws. Intrinsically, these energy-variational solutions fulfill the weak-strong uniqueness prin…
Periodic Lp estimates by R-boundedness: Applications to the Navier-Stokes equations
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
General evolution equations in Banach spaces are investigated. Based on an operator-valued version of de Leeuw's transference principle, time-periodic estimates of maximal re…
Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models
Thomas Eiter, Katharina Hopf, Robert Lasarzik
We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes the flow in terms of the fluid velocity and an internal stress. This stress tensor is t…
On the Oseen-type resolvent problem associated with time-periodic flow past a rotating body
Thomas Eiter
Consider the time-periodic flow of an incompressible viscous fluid past a body performing a rigid motion with non-zero translational and rotational velocity. We introduce a framewo…