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Dr. Johannes (Jannis) Giannoulis

Technische Universität München
Zentrum Mathematik - M7
Boltzmannstraße 3
85747 Garching

Room: 03.08.036
Phone: +49-89-289-17915
eMail: giannoulisma.tum.de
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Research interests

  1. Molecular Dynamics
  2. Multiscale methods
  3. Nonlinear Waves

Short vita

  1. 2006 - 2011 TU München (Group of Prof. Dr. G. Friesecke)
  2. 2005 - 2006 Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin (Group of Prof. Dr. A. Mielke)
  3. 2001 - 2005 Universität Stuttgart (Group of Prof. Dr. A. Mielke)
  4. 2001 PhD Universität Stuttgart (Group of Prof. Dr. P. Werner)

Publications

  1. Transport and generation of macroscopically modulated waves in diatomic chains.
    Discrete Contin. Dyn. Syst. 2011, Dynamical Systems, Differential Equations and Applications. 8th AIMS Conference, suppl., accepted, 2010. [preprint]
  2. (with L. Ambrosio, A. Figalli, G. Friesecke, T. Paul) Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data.
    Comm. Pure Appl. Math. 64, 1199-1242, 2011. [article] [preprint]
  3. (with A. Mielke, C. Sparber) High-frequency averaging in semi-classical Hartree-type equations.
    Asymptot. Anal. 70, 87–100, 2010. [article] [preprint]
  4. (with L. Ambrosio, G. Friesecke) Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions.
    Comm. Partial Differential Equations 35, 1490–1515, 2010. [article] [preprint]
  5. Interaction of modulated pulses in scalar multidimensional nonlinear lattices.
    Appl. Anal. 89, 1413–1445, 2010. [article] [preprint]
  6. (with M. Herrmann, A. Mielke) Lagrangian and Hamiltonian two-scale reduction.
    J. Math. Phys. 49, 103505, 2008. [article] [preprint]
  7. (with A. Mielke, C. Sparber) Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential.
    J. Diff. Eq. 245, 939-963, 2008. [article] [preprint]
  8. (with M. Herrmann, A. Mielke) Continuum descriptions for the dynamics in discrete lattices: derivation and justification.
    In Analysis, Modeling and Simulation of Multiscale Problems, A. Mielke, ed., Springer, 435-466, 2006. [article] [preprint]
  9. (with A. Mielke) Dispersive evolution of pulses in oscillator chains with general interaction potentials.
    Discrete Contin. Dyn. Syst. Ser. B. 6, 493-523, 2006. [article] [preprint]
  10. Young-measure solutions to a generalized Benjamin-Bona-Mahony equation.
    Math. Methods Appl. Sci. 28 , 607-629, 2005. [article]
  11. (with A. Mielke) The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities.
    Nonlinearity 17, 551-565, 2004. [article]
  12. Über das zeitasymptotische Verhalten von Wellen im mehrdimensionalen freien Raum bei einfachperiodischer Materialverteilung.
    [On the time-asymptotic behavior of waves in multidimensional free space at simple-periodic material distribution.]

    (German with english summary) Dissertation, Universität Stuttgart, Shaker Verlag, 2001. pdf

Teaching

  1. SS 2011
  2. Einführung in die mathematische Modellierung (VL/Ü)
  3. WS 2010/11
  4. Analysis für Informatiker/-innen (VL)
  5.       Nichtlineare Funktionalanalysis (S; mit B. Schmidt)
  6. SS 2010
  7. Weak Convergence Methods for Nonlinear Partial Differential Equations / PDE 2 (Ü)
  8. WS 2009/10
  9. Partielle Differentialgleichungen (Ü)
  10.       Effektive Dynamik gewöhnlicher Differentialgleichungen (VL)
  11. SS 2009
  12. Analysis 2 (Ü)
  13.       Multiscale Methods: Averaging and Homogenization (S; with B. Schmidt)
  14. WS 2008/09
  15. Analysis 1 (T)
  16. SS 2008
  17. Höhere Mathematik II für MW/CIW (Ü)
  18. WS 2007/08
  19. Höhere Mathematik I für MW/CIW (Ü)
  20. SS 2007
  21. Analysis IV (Ü)
  22. WS 2006/07
  23. Analysis III (Ü)
  24.       Scale bridging in Quantum Mechanics and Molecular Dynamics (S; with G. Friesecke and B. Goddard)
  25. SS 2006
  26.       Analysis II (Ü)
(Ü: Übungsleitung; T: Tutorien; S: Hauptseminar; VL: Vorlesung)