Part I: Basic semiconductor physics
- Electrons in a semiconductor
- Semi-classical picture
- Boltzmann transport equation
- Scattering processes
Parts II and III: Semi-classical hydrodynamic and diffusive limits
- Moment and Chapman-Enskog methods: two-step and three-step procedures
- Semiconductor model hierarchy
- Warm-up: Derivation of the drift-diffusion equations
- Maxwellians and entropy
- Derivation of the energy-transport equations
- Numerical approximation of the energy-transport equations
- Derivation of hydrodynamic models
Part IV: Quantum kinetic equations
- Wigner equation
- Liouville-von Neumann equation
- Schroedinger equation
- Quantum Maxwellians and quantum entropy
Part V: Quantum hydrodynamic and diffusive limits
- Derivation of the quantum drift-diffusion equations
- Numerical simulation of resonant tunneling diodes
- Derivation of the quantum energy-transport equations
- Derivation of quantum hydrodynamic models

Scaling Limits for Particle Systems
Mario PULVIRENTI (Roma)

Part I: Derivation of the Boltzmann equation. BBKGY hierarchy. The Boltzmann-Grad limit and propagation of chaos. Tree expansion.
Part II: Derivation of the Landau equation Physical significance. The weak-coupling limit and formal derivation.
Part III: Kinetic picture of Quantum Systems.
Part IV: Low-density and weak-coupling limits. Statistics and quantum Boltzmann equation.

Random Many Particle Systems: Applications from Biology, and Propagation of Chaos in Abstract Models.
Bernt WENNBERG (Göteborg)

Lecture 1: Two biological applications of kinetic theory: Swarming and Speciation.
Lecture 2, 3, 4: Propagation of chaos.
These lectures start with Kac's model of a gas and derivation of his kinetic model. Kac's theory is then put in a general abstract framework, and applied to various models.

Special Session dedicated to Carlo Cercignani

• K. Aoki (Kyoto), Relaxation of a Knudsen gas to equilibrium caused by interaction with vessel wall
• A. Bobylev (Karlstad), Linear and linearized Boltzmann collision operators for hard spheres
• L. Desvillettes (ENS-Cachan), A new approach for Cercignani's conjecture
• S. Galdabini Cercignani (Milano), Carlo, Maxwell and me. Some ideas about Maxwell's papers on electromagnetism

Seminars

• T. Ruggeri (Bologna), Mixture of fluids, Maxwellian iteration and Entropy Principle
• L. Boudin (Paris), Kinetic models for opinion formation
• C. Negulescu (Marseille), Numerical resolution of a 2D time-dependent Schroedinger equation, for the study of the quantum decoherence effect

Posters

• T. Allemand, Hydrodynamic limit for the Boltzmann equation modeling a gas of fermions
• L. Barletti, Diffusive limits of the two-band kp model
• S. Brull, Construction of BGK models by minimization of the entropy under moment constraints
• A. Champmartin, A simplified BGK kinetic model for the homogeneous Boltzmann equation
• M. Icardi, Quadrature-based method of moments for granular flows
• J. Mathiaud, A BGK model for sprays
• G. Panati, Dynamics of electrons in crystals perturbed by magnetic fields
• T. Rey, Haff law for anomalous granular gases
• S. Taguchi, Numerical analysis of rarefied gas flows induced around a flat plate: radiometric flow and thermal edge flow
• S. Takata, On the symmetry of the linearized Boltzmann equation

List of participants

Allemand Thibaut (allemand  at   dma.ens.fr)
Aoki Kazuo (aoki  at   aero.mbox.media.kyoto-u.ac.jp)
Asadzadeh Mohammad (mohammad  at   chalmers.se)
Barletti Luigi (barletti  at   math.unifi.it)
Bernhoff Niclas (niclas.bernhoff  at   kau.se)
Bisi Marzia (marzia.bisi  at   unipr.it)
Bobylev Alexander (alexander.bobylev  at   kau.se)
Borgioli Giovanni (giovanni.borgioli  at   unifi.it)
Boudin Laurent (boudin  at   ann.jussieu.fr)
Boutin Benjamin (benj.boutin  at   gmail.com)
Brull Stephane (Stephane.Brull  at   math.u-bordeaux1.fr)
Canizo Jose' (canizo  at   mat.uab.cat)
Caprino Silvia (caprino  at   mat.uniroma2.it)
Carvalho Filipe (filipecarvalho  at   esce.ipvc.pt)
Cavallaro Guido (cavallar  at   mat.uniroma1.it)
Champmartin Aude (aude.champmartin  at   cmla.ens-cachan.fr)
Conforto Fiammetta (fiamma  at   unime.it)
Desvillettes Laurent (Laurent.Desvillettes  at   cmla.ens-cachan.fr)
Di Stefano Vincenza (vdistefano  at   dmi.unict.it)
Dulla Sandra (sandra.dulla  at   polito.it)
Frosali Giovanni (giovanni.frosali  at   unifi.it)
Galdabini Cercignani Silvana (sissig  at   tiscali.it)
Groppi Maria (maria.groppi  at   unipr.it)
Icardi Matteo (matteo.icardi  at   polito.it)
Jin Shi (jin  at   math.wisc.edu)
Juengel Ansgar (juengel  at   anum.tuwien.ac.at)
Kimathi Mark (kimathi  at   mathematik.uni-kl.de)
Lisi Meri (lisi7  at   unisi.it)
Maldarella Dario (mlddra  at   unife.it)
Marchioro Carlo (marchior  at   mat.uniroma1.it)
Mathiaud Julien (mathiaud  at   cmla.ens-cachan.fr)
Miot Evelyn (miot  at   mat.uniroma1.it)
Monaco Roberto (roberto.monaco  at   polito.it)
Morandi Omar (morandi  at   dipmat.univpm.it)
Negulescu Claudia (claudia  at   cmi.univ-mrs.fr)
Panati Gianluca (panati  at   mat.uniroma1.it)
Pandey Anamika (pandey  at   mathematik.uni-kl.de)
Potapenko Irina (firena  at   yandex.ru)
Pulvirenti Mario (pulviren  at   mat.uniroma1.it)
Rey Thomas (rey  at   math.univ-lyon1.fr)
Rosado Jesus (jrosado  at   mat.uab.cat)
Ruggeri Tommaso (ruggeri  at   ciram.unibo.it)
Salvarani Francesco (francesco.salvarani  at   unipv.it)
Schoerkhuber Birgit (schoerkhuber  at   aurora.anum.tuwien.ac.at)
Spiga Giampiero (giampiero.spiga  at   unipr.it)
Tagushi Satoshi (taguchi  at   mech.kobe-u.ac.jp)
Totaro Silvia (totaro  at   unisi.it)
Trescases Ariane (atrescases  at   dptmaths.ens-cachan.fr)
Vinerean Mirela (mirela.vinerean  at   kau.se)
Wennberg Bernt (wennberg  at   chalmers.se)
Windfall Asa (Asa.Windfall  at   kau.se)
Zamponi Nicola (nzamponi  at   gmail.com)