Erwin Schrödinger-Institute for Mathematical Physics, Vienna

Mathematical Analysis of Charged Particle Kinetics

Workshop

Analytical techniques and asymptotic methods for kinetic problems

October 5-8, 1998

Location: TU Wien (Vienna University of Technology)

Wiedner Hauptstrasse 8-10, green area

Registration, coffee breaks: 1st floor

Lecture hall: Zeichensaal 2, 7th floor

Except Oct. 5, afternoon

Program

OCT. 5, MORNING

9.30 - 10.15 Registration

10.15 - 10.30 Opening

10.30 - 11.30 G. TOSCANI, L1-Asymptotics of Linear and Nonlinear Parabolic Equations (a Kinetic Approach)

11.30 - 12.00 Coffee break

12.00 - 13.00 C. CERCIGNANI, On the Various Concepts of Wave in Kinetic Theory

OCT. 5, LUNCH BREAK

After lunch, we propose a walk through the historic center of Vienna from the TU Wien to the ESI, including a stop at a traditional Cafe.

OCT. 5, AFTERNOON

Location: Erwin-Schroedinger-Institute (ESI), Boltzmanngasse 9

16.00 - 17.00 P. GERARD, Wigner Measures and Semiclassical Propagation through Energy Level Crossings

17.00 - 17.30 Coffee break

17.30 - 18.30 P. DEGOND, Electron Transport in Multiquantum Well Structures

19.00 - Reception

OCT. 6, MORNING

9.30 - 10.00 A. ARNOLD, An Analysis of Quantum Fokker-Planck Models

10.00 - 10.30 F. CASTELLA, On the Derivation of a Quantum Boltzmann Equation

10.30 - 11.00 Coffee break

11.00 - 11.30 C. RINGHOFER, Space-Time Discretization of Series Expansion Methods for the Boltzmann Transport Equation

11.30 - 12.00 L. PARESCHI, Diffuse Relaxation Schemes for Multiscale Hyperbolic and Transport Equations

OCT. 6, AFTERNOON

14.00 - 14.30 E. CARLEN, Hilbert Expansion for Kinetic Lattice Models and Interface Motion

14.30 - 15.00 M. CARVALHO, On the Speed of Approach to Local Equilibrium in Conservative Non-local Phase Kinetics Models

15.00 - 15.30 Coffee break

15.30 - 16.00 L. DESVILLETTES, The Landau Equation with Hard Potentials

16.00 - 16.30 C. VILLANI, The Many Faces of Entropy Dissipation

OCT. 6, EVENING

Location: Erwin-Schroedinger-Institute (ESI), Boltzmanngasse 9

18.00 - 19.00 C. CERCIGNANI, Ludwig Boltzmann: The Man who Trusted Atoms

OCT. 7, MORNING

9.30 - 10.00 P. MARCATI, Title to be announced

10.00 - 10.30 A. JUENGEL, A Hierarchy of Macroscopic Models for Charged Particles

10.30 - 11.00 Coffee break

11.00 - 11.30 I. GAMBA, The Milne Problem for Strong Field Expansions to Charge Transport

11.30 - 12.00 V. ROMANO, Non Parabolic Band Transport in Semiconductors: Closure of the Moment Equations

OCT. 7, AFTERNOON

14.00 - 14.30 E. GABETTA, Central Limit Theorem for Maxwellian Molecules and Truncation of the Wild Espansion

14.30 - 15.00 G. RUSSO, Implicit Monte Carlo Methods for Rarefied Gas Dynamics

15.00 - 15.30 Coffee break

15.30 - 16.00 B. WENNBERG, Uniqueness and Non-Uniqueness for the Spatially Homogeneous Boltzmann Equation

16.00 - 16.30 T. GOUDON, Diffusion Approximation and Homogenization via Compensated Compactness

OCT. 7, EVENING

19.30 - Heuriger (winery): "Zum Martin Sepp", Address: Cobenzlgasse 34

OCT. 8, MORNING

9.30 - 10.00 F. POUPAUD, About Semi Classical Limits of Schroedinger Poisson Systems

10.00 - 10.30 A.E. TZAVARAS, Multiscale Analysis of Interacting Particles: Relaxation Systems and Scalar Conservation Laws

10.30 - 11.00 Coffee break

11.00 - 11.30 M. SLEMROD, Constitutive Relations and the Chapman Enskog Expansion

11.30 - 12.00 J. DOLBEAULT, New Results on Time-dependent Rescalings, Dispersion and Asymptotic Dispersion Profiles

OCT. 8, AFTERNOON

14.00 - 14.30 Y. BRENIER, Analysis of a Kinetic Equation Supercritical with Respect to Averaging Lemmas

14.30 - 15.00 P.E. JABIN, Asymptotic Limit of some Vlasov Equations towards Macroscopic Systems

15.00 - 15.30 Coffee break

15.30 - 16.00 J. SOLER, On the Stability of the Vlasov-Poisson-Fokker-Planck System