Fachbereich Mathematik
Room: S2|15 /408 |

- Partial Differential Equations
- Mathematical Fluid Mechanics
- Navier-Stokes Equations
- Harmonic Analysis
- Calculus of Variations
- Elasticity
- Free Boundary Problems
- Acoustic

November 28- December 01, 2017 | International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics at Waseda University, Tokyo, Japan | I am giving a 4 hour lecture series on Time-Periodic Navier-Stokes Equations |

March 05-09, 2018 | GDMV 2018 Paderborn | Together with Elfriede Friedmann I am organizing the Minisymposium Fluid Mechanics at the GDMV 2018 Conference in Paderborn. |

[1] | Time-period flow of a viscous liquid past a body (Mads Kyed and Giovanni P. Galdi) |

[2] | Time-periodic solutions to the navier-stokes equations in the three-dimensional whole-space with a drift term: Asymptotic profile at spatial infinity (Mads Kyed and Giovanni P. Galdi) |

[3] | Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation (Mads Kyed and Aday Celik) |

[4] | On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type (Mads Kyed and Jonas Sauer) |

[1] | Josef Bemelmans, Giovanni P. Galdi, and Mads Kyed. Fluid Flows Around Floating Bodies, I: The Hydrostatic Case. J. Math. Fluid Mech., 14(4):751--770, 2012. [ bib ] |

[2] | Josef Bemelmans, Giovanni P. Galdi, and Mads Kyed. On the Steady Motion of a Coupled System Solid-Liquid. Mem. Am. Math. Soc., 226, 2013. [ bib ] |

[3] | Josef Bemelmans, Giovanni P. Galdi, and Mads Kyed. Capillary Surfaces and Floating Bodies. Ann. Mat. Pura Appl., 193(4):1185--1200, 2014. [ bib ] |

[4] | Josef Bemelmans and Mads Kyed. Steady flow around a floating body: The rotationally symmetric case. In Advances in mathematical fluid mechanics. Berlin: Springer, 2010. [ bib ] |

[5] | Aday Celik and Mads Kyed. Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation. Z. Angew. Math. Mech, 1-19, 2017. [ bib | DOI ] |

[6] | Thomas Eiter and Mads Kyed. Estimates of time-periodic fundamental solutions to the linearized Navier-Stokes equations. J. Math. Fluid Mech., 2017. [ bib | DOI ] |

[7] | Thomas Eiter and Mads Kyed. Particles in Flows (edited by Tomas Bodnar, Giovanni P. Galdi and Sarka Necasova), chapter Time-Periodic Linearized Navier-Stokes Equations: An Approach Based on Fourier Multipliers. Birkhäuser, 2017. [ bib ] |

[8] | Reinhard Farwig, Giovanni P. Galdi, and Mads Kyed. Asymptotic Structure of a Leray Solution to the Navier-Stokes Flow Around a Rotating Body. Pac. J. Math., 253(2):367--382, 2011. [ bib ] |

[9] | Giovanni P. Galdi and Mads Kyed. Steady flow of a Navier-Stokes liquid past an elastic body. Arch. Ration. Mech. Anal., 194(3):849--875, 2009. [ bib ] |

[10] | Giovanni P. Galdi and Mads Kyed. Asymptotic Behavior of a Leray Solution around a Rotating Obstacle. Progress in Nonlinear Differential Equations and Their Applications, 60:251--266, 2011. [ bib ] |

[11] | Giovanni P. Galdi and Mads Kyed. Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable. Arch. Ration. Mech. Anal., 200(1):21--58, 2011. [ bib ] |

[12] | Giovanni P. Galdi and Mads Kyed. A simple proof of L^{q}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part I: Strong solutions. Proc. Amer. Math. Soc., 141:573--583, 2013. [ bib ] |

[13] | Giovanni P. Galdi and Mads Kyed. A simple proof of L^{q}-estimates for the steady-state Oseen and Stokes equations in a rotating frame, Part II: Weak solutions. Proc. Amer. Math. Soc., 141:1313--1322, 2013. [ bib ] |

[14] | Giovanni P. Galdi and Mads Kyed. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (edited by Antonin Novotny and Yoshikazu Giga), chapter Time Periodic Solutions To The Navier-Stokes Equations. Berlin: Springer, 2016. [ bib ] |

[15] | Giovanni P. Galdi and Mads Kyed. Time-period flow of a viscous liquid past a body. To appear in London Mathematical Society Lecture Note Series, 2016. [ bib | http ] |

[16] | Giovanni P. Galdi and Mads Kyed. Time-periodic solutions to the navier-stokes equations in the three-dimensional whole-space with a drift term: Asymptotic profile at spatial infinity. To appear in Contemporary Mathematics, 2016. [ bib | http ] |

[17] | Mads Kyed. Square integrable representations and the continuous wavelet transformation. Master's thesis, Aarhus University, 1999. [ bib ] |

[18] | Mads Kyed. Travelling wave solutions of the heat equation in an unbounded cylinder with a nonlinear boundary condition. PhD thesis, RWTH Aachen University, 2005. [ bib ] |

[19] | Mads Kyed. On the steady free fall of an elastic body in a Navier-Stokes liquid. In Oberwolfach Reports, volume 4(4), 2007. [ bib ] |

[20] | Mads Kyed. Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition. Math. Nachr., 281(2):253--271, 2008. [ bib ] |

[21] | Mads Kyed. Time-Periodic Solutions to the Navier-Stokes Equations. Habilitationsschrift, Technische Universität Darmstadt, 2012. [ bib | http ] |

[22] | Mads Kyed. Asymptotic Profile of a Linearized Flow Past a Rotating Body. Q. Appl. Math., 71:489--500, 2013. [ bib ] |

[23] | Mads Kyed. On a mapping property of the Oseen operator with rotation. Discrete Contin. Dyn. Syst., Ser. S, 6(5):1315--1322, 2013. [ bib ] |

[24] | Mads Kyed. Existence and regularity of time-periodic solutions to the three-dimensional Navier-Stokes equations. Nonlinearity, 27(12):2909--2935, 2014. [ bib ] |

[25] | Mads Kyed. Maximal regularity of the time-periodic linearized Navier-Stokes system. J. Math. Fluid Mech., 16(3):523--538, 2014. [ bib ] |

[26] | Mads Kyed. On the Asymptotic Structure of a Navier-Stokes Flow Past a Rotating Body. J. Math. Soc. Japan, 66(1):1--16, 2014. [ bib ] |

[27] | Mads Kyed. A fundamental solution to the time-periodic stokes equations. J. Math. Anal. Appl., 437(1):708--719, 2016. [ bib ] |

[28] | Mads Kyed and Jonas Sauer. A method for obtaining time-periodic Lp estimates. Journal of Differential Equations, 262(1):633--652, 2017. [ bib ] |

[29] | Mads Kyed and Jonas Sauer. On Time-Periodic Solutions to Parabolic Boundary Value Problems of Agmon-Douglis-Nirenberg Type. (submitted), 2017. [ bib | http ] |

2005--2010 | PostDoc | RWTH Aachen |

2010--2012 | PostDoc | Technische Universität Darmstadt |

2012--2013 | Professor | Friedrich-Alexander-Universität Erlangen-Nürnberg |

2013--2014 | Professor | Universität Kassel |

2014-- | Professor | Technische Universität Darmstadt |

*MSc. Aday Celik**MSc. Thomas Eiter*