Research Interests

 
Analysis and Numerics of partial differential equations:
  • Kinetic evolution models
  • Wigner transforms
  • Nonlinear semigroups
  • Operator splitting methods
  • Spectral collocation methods
  •  

         Publications

     

      1. A. Arnold, J. A. Carrillo, E. Dhamo.
        On the periodic Wigner-Poisson-Fokker-Planck system.
        J. Math. Anal. Appl. 275 (2002) 263-276.


      2. A. Arnold, E. Dhamo, C. Manzini.
        The Wigner-Poisson-Fokker-Planck system: global-in-time solution and dispersive effects.
        submitted for publication (2005).


      3. A. Arnold, E. Dhamo, C. Manzini.
        Dispersive effects in quantum kinetic equations.
        submitted for publication (2005).

     

         Ph.D. Thesis

     

         Master Thesis

     

    Contributions to Conferences

     
    25. - 26.10.2001
    Workshop "Multiscale Problems in Quantum Mechanics and Averaging Techniques", at the University of Konstanz / Germany
    09. - 12.06.2002
    DFG - Colloquium to the concentration program "Analysis, Modelling and Simulation of Multiscale Problems", at the Physic-Centre in Bad-Honnef / Germany
    15. - 19.07.2002
    XXII Conference Dynamics Days Europe, at the University of Heidelberg / Germany
    09. - 21.09.2002
    XXVII Summer School of Mathematical Physics, in Ravello / Italy
    22. - 28.09.2002
    COMP-HYKE XX School of Computational Mathematics, in Piano di Sorrento (Neapel) / Italy
    19. - 23.05.2003
    NanoLab-Spring School "Quantum Transport in Nano-structures", at the MIP, Toulouse / France
    02. - 04.06.2003
    DFG - Workshop "Analysis, Modeling and Simulation of Multiscale Problems" at the Andreas Hermes Academy in Bonn-Röttgen / Germany
    23. - 29.11.2003
    Workshop "Classical and Quantum Mechanical Models of Many-Particle Systems", MFO, Oberwolfach / Germany
    23. - 25.02.2004
    Workshop "Numerical and asymptotic methods for kinetic equations", at the University of Saarbrücken / Germany
    06. - 12.06.2004
    Summer School on "Methods and models of kinetic theory", in Porto Ercole / Italy
    04. - 05.11.2004
    DFG-Workshop "Multiscale problems in quantum mechanics and averaging techniques", at the TU-Munich / Germany
    21. - 26.02.2005
    School and Workshop "Mathematical Methods in Quantum Mechanics", in Bressanone / Italy
    19. - 27.07.2005
    Summer School and Workshop on "Non Linear PDEs", at WPI in Vienna / Austria
    23. - 25.11.2005
    Workshop "Entropy Methods in PDE Theory and in Stochastics", at the University of Mainz / Germany