Prof. Dr. Mads Kyed

Prof. Dr. Mads Kyed

Fachbereich Mathematik
Arbeitsgruppe Analysis/
Partielle Differentialgleichungen
Technische Universität Darmstadt
Schlossgartenstraße 7
64289 Darmstadt

 

Büro: S2|15 /408
Telefon: +49 (0)6151 16-21496
kyed [at] mathematik.tu-darmstadt.de

Research

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

Upcoming events

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.


Publications

[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 Lq-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 Lq-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 ]

Academic Positions

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

PhD Students

  • MSc. Aday Celik
  • MSc. Thomas Eiter
A A A | Print Drucken | Impressum Impressum | Contact Kontakt
    zum Seitenanfangzum Seitenanfang