27 citations · 74 across the 13 of their papers we have counts for
16 papers
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…
Fluid-plate interaction under periodic forcing
Aday Celik, Mads Kyed
The motion of a thin elastic plate interacting with a viscous fluid is investigated. A periodic force acting on the plate is considered, which in a setting without damping could le…
Viscous flow around a rigid body performing a time-periodic motion
Thomas Eiter, Mads Kyed
The equations governing the flow of a viscous incompressible fluid around a rigid body that performs a prescribed time-periodic motion with constant axes of translation and rotatio…
Falling drop in an unbounded liquid reservoir: Steady-state solutions
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
The equations governing the motion of a three-dimensional liquid drop moving freely in an unbounded liquid reservoir under the influence of a gravitational force are investigated.…
On periodic solutions for one-phase and two-phase problems of the Navier-Stokes equations
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
This paper is devoted to proving the existence of time-periodic solutions of one-phase or two-phase problems for the Navier-Stokes equations with small periodic external forces whe…
Time-periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half-space
Aday Celik, Mads Kyed
The time-periodic Stokes problem in a half-space with fully inhomogeneous right-hand side is investigated. Maximal regularity in a time-periodic Lp setting is established. A method…
On the asymptotic structure of steady Stokes and Navier-Stokes flows around a rotating two-dimensional body
Toshiaki Hishida, Mads Kyed
We establish pointwise decay estimates for the velocity field of a steady two-dimensional Stokes flow around a rotating body via a new approach rather than analysis adopted in the…
Nonlinear acoustics: Blackstock-Crighton equations with a periodic forcing term
Aday Celik, Mads Kyed
The Blackstock-Crighton equations describe the motion of a viscous, heat-conducting, compressible fluid. They are used as models for acoustic wave propagation in a medium in which…
On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type
Mads Kyed, Jonas Sauer
Time-periodic solutions to partial differential equations of parabolic type corresponding to an operator that is elliptic in the sense of Agmon-Douglis-Nirenberg are investigated.…
Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation
Aday Celik, Mads Kyed
Existence of non-resonant solutions of time-periodic type are established for the Kuznetsov equation with a periodic forcing term. The equation is considered in a three-dimensional…
Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity
Giovanni P. Galdi, Mads Kyed
An asymptotic expansion at spatial infinity of a weak time-periodic solution to the Navier-Stokes equations with a non-zero drift term in the three-dimensional whole-space is carri…
Estimates of time-periodic fundamental solutions to the linearized Navier-Stokes equations
Thomas Eiter, Mads Kyed
Fundamental solutions to the time-periodic Stokes and Oseen linearizations of the Navier-Stokes equations in dimension are investigated. Integrability properties and poin…
Time-period flow of a viscous liquid past a body
Giovanni P. Galdi, Mads Kyed
Time-periodic solutions to the Navier-Stokes equations that govern the flow of a viscous liquid past a three-dimensional body moving with a time-periodic velocity are investigated.…
A fundamental solution to the time-periodic Stokes equations
Mads Kyed
The concept of a fundamental solution to the time-periodic Stokes equations in dimension is introduced. A fundamental solution is then identified and analyzed. Integrabil…
Existence and regularity of time-periodic solutions to the three-dimensional Navier-Stokes equations
Mads Kyed
Existence, uniqueness, and regularity of time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space are investigated. We consider the Navier-Stokes…
Maximal regularity of the time-periodic Navier-Stokes system
Mads Kyed
Time-periodic solutions to the linearized Navier-Stokes system in the -dimensional whole-space are investigated. For time-periodic data in -spaces, maximal regularity and c…