WK Differential Equations - Student Member:
Vera Miljanovic

Address:
Institute for Analysis and Scientific Computing
Vienna University of Technology
Wiedner Hauptstr. 8-10
A-1040 Wien, Austria

Telephone: (0043-1) 58801 10180
Fax: (0043-1) 58801 115 98
Email: vera@deana.math.tuwien.ac.at
WWW: http://stud4.tuwien.ac.at/~e0227181/

Advisor: C. Schmeiser

Research: My area of research is the analysis of partial differential equations arising from mathematical physics. First problem I considered was to obtain quantitative results for the convergence to equilibrium for a kinetic model problem related to a wave-particle interaction in cometary flows. Now we are considering a problem related to semiconductor modelling, namelly the modelling of electron-hole recombination-generation via trap states in the forbidden energy band. The aim is to satisfy the so-called Shockley-Read-Hall model in the context of a drift-diffusion description of charge carrier flow and to extend this model to a kinetic transport description.

Publications:
  1. V. M. Entropy Method for the Linearized Cometary Flow Equation, to appear in the Proc. of HYP2004, Osaka, Japan.
  2. K.Fellner, V.M., C.Schmeiser Convergence to Equilibrium for the Linearized Cometary Flow Equation, submitted.
  3. V.M. Derivation of the Drift Diffusion Shockley-Read-Hall Model for Semiconductors, to appear in the Proc. of Equadiff11, Bratislava, Slovakia.
  4. T.Goudon, V.M., C.Schmeiser On the Shockley-Read-Hall Model: Generation-Recombination in Semiconductors , submitted.
Activities:
  1. March 2003: Participation in the " Mathematical Theory of Hyperbolic Systems of Conservation Laws" at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England.
  2. June 2003: Participation in the "Modelling and Numerical Methods for Multiscale problems" at the FORTH,IACM in Heraclion, Greece.
  3. September 2003: Talk given at the "Annual Meeting of the Austrian Mathematical Society" at the European Academy in Bolzano, Italy.
  4. May 2004: Research visit at the Universite de Lille 1 in Lille, France.
  5. May 2004: Participation in the "Systemes a Grand Nombre de Particules, Quantiques et Classiques: Descriptions Stochastiques et Deterministes" at the Universite de Rennes 1 in Rennes, France.
  6. September 2004: Talk given at the "Tenth International Conference on Hyperbolic Problems: Theory, Numerics, Applications " at the Hankyu Expo Park in Osaka, Japan.
  7. September 2004: Participation at the "Mathematical Aspects of Fluid and Plasma Dynamics" at the Kyoto University in Kyoto,Japan.
  8. April, May 2005: Research visit at the MIP, University Paul Sabatier in Toulouse, France, and at the ENS Lyon in Lyon, France, research group of C. Villani.
  9. July 2005: Talk given at the "International Conference on Conservation Laws and Kinetic Theory" at the Shanghai Jiao Tong University in Shanghai, China.
  10. July 2005: Participation at the "EQUADIFF11" at the Comenius University in Bratislava, Slovakia.
  11. September 2005: Participation at the "Multiscale problems: modelling, math. analysis and application " in the University of Bath in Bath, England.
  12. September 2005: Talk given at the "OMG Conference" in the University of Klagenfurt in Klagenfurt, Austria.