Professor

KRM (Kinetic and Related Models) Editor

Laboratory of Analysis, Topology and Probability (LATP)
Aix-Marseille University

39 rue F. Joliot Curie
13453 Marseille Cedex 13
France

E-mail: nouri@cmi.univ-mrs.fr
Phone number: 00-33-4-13-55-14-55
Fax Number: 00-33-4-13-55-14-02

A two-year postdoctoral position is available

Start: from september 2011.
Location: LATP (Laboratory of Analysis, Topology and Probability), Aix-Marseille University.

This postdoctoral position will be financed by the French national Research Agency (ANR) within the project GYPSI (GYrokinetic SImulations of high Performance). The candidate will work on applied mathematics in the domain of plasma physics for tokamaks.

The models presently used for studying plasmas in the core of a tokamak rely on a gyrokinetic Vlasov equation and a quasi-neutrality equation. Collisions between charged particles are seldom but not negligible. The research project will consist to find proper collision operators for tokamaks plasmas, study their eventual regularizing properties and the well-posedness of the related models.

The candidate will work within the LATP and interact with the CEA in Cadarache, where the ITER project is implemented.

Required: experience with kinetic equations and some knowledge in plasma physics.

The monthly net salary will be beween 2000 and 2400 euros.

Applications including a cv should be sent to Maxime Hauray (hauray@cmi.univ-mrs.fr) or Anne Nouri (nouri@cmi.univ-mrs.fr).

• Applied Mathematics to ITER

• Kinetic equations

• Bifurcations from a kinetic point of view

• Bose-Einstein condensates

• Jabin, P.E., Nouri, A., 'Analytic solutions to a strongly nonlinear Vlasov equation', To appear in CRAS, 2011.
• Hauray, M., Nouri, A., 'Well-posedness of a diffusive gyro-kinetic model', To appear in Ann. IHP, 4, Nb 1, 109-138, 2011. gyro_hauray-nouri_2011.pdf
• Arkeryd, L., Esposito, R., Marra, R., Nouri, A., 'Ghost effect by curvature in planar Couette flow', Kinetic and Related Models, 2011.
• Arkeryd, L., Esposito, R., Marra, R., Nouri, A., 'Stability for Rayleigh-Benard convection solutions to the Boltzmann equation', To appear in Archive for Rational Mechanics and Analysis.rayleigh-benard2010
• Ghendrih, P., Hauray, M., Nouri, A., 'Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solutions', Kinetic and Related Models, 2009.
• R., Marra, R., Nouri, A., 'Stability of the laminar solution of the Boltzmann equation for the Benard problem', Bull. Academia. Sinica, 3, 51-97, 2008.
• Ghendrih, P., Negulescu, C., Nouri, A., 'Existence and uniqueness of the electric potential profile in the edge of tokama plasmas when constrained by the plasma-wall boundary physics', Kinetic and Related Models 1, No 4, 619-639, 2008. plasma-boundary2008
• Nouri, A., 'An existence result for a quantum BGK model', Mathematical and Computer Modelling, Vol 47, 3/4, 515-529, 2008.
• Nouri, A., Arkeryd, L., 'Asymptotic techniques for kinetic problems of Boltzmann type', Proceedings of the 3rd edition of the summer school in 'Methods and Models of kinetic theory', Riv. Mat. Univ. Parma 7, 1-74, 2007. portoercole1.pdfportoercole2.pdfportoercole3.pdf
• Nouri, A., 'Bose-Einstein condensates at very low temperatures. A mathematical result in an isotropic frame', Bulletin of the Institute of Mathematics, Academia Sinica, Vol 2, No 2, 649-666, 2007. bose-einstein2007
• Ferrari, E., Nouri, A., 'On the Cauchy problem for a quantum kinetic equation linked to the Compton effect', Mathematical and Computer Modelling, Vol 43, 7/8, 838-853, 2006. compton2006.pdf
• Arkeryd, L., Nouri, L., 'On a Taylor-Couette type bifurcation for the stationary nonlinear Boltzmann equation', Journal of Statistical Physics, Vol.124, Nos.2-4, 401-443, 2006. taylor_couette_2006.pdf
• Arkeryd, L., Nouri, A., 'An existence result for the stationary Boltzmann equation in a cylindrical geometry', Arkiv for Matematik, Vol 434, 29-50, 2005. cylindricalbe2005.pdf
• Arkeryd, L., Nouri, A., 'The stationary nonlinear Boltzmann equation in a Couette setting: multiple, isolated <latex>L^ q</latex> solutions and positivity', Journal of Statistical Physics, Vol 118 #5-6, 849-881, 2005. couettebe2005.pdf
• Chane-Yook, M., Nouri, A., 'On a quantum Boltzmann equation describing the Compton effect', Transport Theory and Statistical Physics, Vol 33, nbs 5-7, 403-427, 2004. compton2004.pdf
• Nouri, A., 'The evolution of a gas in a radiation field from a kinetic point of view', Journal of Statistical Physics, Vol. 106, Nos. 3/4, 589-622, 2002. radiation2002.pdf
• Nouri, A., Severin, F., 'A mathematical analysis of electrical discharges', Quarterly of Applied Mathematics, Vol LX, Nb 1, 131-152, 2002.
• Arkeryd, L., Nouri, A., 'The stationary Boltzmann equation in <latex>R^ n</latex> with given indata', Annali della Scuole Normale Superiore di Pisa Cl. Sci.(4) Vol XXXI, 1-28, 2002.
• Degond, P., Nouri, A., Schmeiser, C., 'Macroscopic models for ionization in the presence of strong electric fields', Transport Theory and Statistical physics', Vol 29, 551-561, 2000.
• Nouri, A., 'An Euler-Poisson system in plasmas', J. Austr. Math. Soc., B, 41 (4), 2000.
• Arkeryd, L., Nouri, A., 'On the Milne problem and the hydrodynamic limit for the stationary Boltzmann equation', J. Stat. Phys., Vol 99 3/4, 993-1019, 2000.
• Arkeryd, L., Nouri, A., ' <latex>L^ 1</latex> solutions to the stationary Boltzmann equation in a slab', Annales de la faculté de Toulouse, Vol 9, 3, 2000. slabstationarybe2000.pdf
• Nouri, A., 'A Cauchy inequality for the Boltzmann equation', Math. Meth. Appl. Sci, 23, 561-574, 2000.
• Nouri, A., Omrane, A., Vila, J.P., 'Fluid limit of mixed kinetic model for scalar conservation laws', J. Stat. Phys., 94, 5/6, 1999.
• Arkeryd, L, Nouri, A., 'On the stationary Povzner equation in <latex>R^ n</latex> , J. Maths. Kyoto University, 39 (1), 115-153, 1999.
• Arkeryd, L., Nouri, A., 'The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces', Annali della Scuole Normale Superiore di Pisa Cl. Sci. (4) Vol XXVII, 533-556, 1998.
• Arkeryd, L., Nouri, A., 'A condensation evaporation problem', SIAM J. Math. Anal., 29 (1), 30-47, 1998. condensationbe1998.pdf
• Nouri, A., 'Kinetic and fluid aspects of gas discharges', Quarterly of Applied Math., LV 1(3), 147-155, 1998.
• Nouri, A., de La Bourdonnaye, A., 'Ionization and recombination in plasmas', Journal of Statistical Physics, 87, 3/4, 643-660, 1997.
• Arkeryd, L., Nouri, A., 'Boltzmann asymptotics with diffuse reflection boundary conditions', Monatshefte fur Mathematik 123, 285-298, 1997.asymptoticsbe1997.pdf
• Nouri, A., Poupaud, F., Demay, Y., 'An existence theorem for the multifluid Stokes problem', Quarterly of Applied Mathematics, LV 3, 421-435, 1997.multifluid_stokes1997.pdf
• Nouri, A., Schmeiser, C., 'Streamers in gas discharge devices', ZAMP, 47, 553-566, 1996.
• Nouri, A., Poupaud, F., 'An existence theorem for the multifluid Navier-Stokes problem', Journal of Differential equations, 122 (1), 71-88, 1995.multifluid_navier_stokes1995.pdf
• Nouri, A., 'A problem related to microwaves propagating in the atmosphere', TTSP, 24 (9), 1401-1409, 1995. microwaves1995.pdf
• Nouri, A., Poupaud, F., 'Stationary solutions of boundary value problems for Maxwell Boltzmann system modelling degenerate semiconductors', SIAM J. Math. Anal., 26 (5), 1143-1156, 1995.semiconductor1995
• Arkeryd, L., Nouri, A., 'A compactness result related to the stationary Boltzmann equation in a slab, with applications to the existence theory', Ind. Univ. Math. Journ., 44 (3), 815-839, 1995.stationary-be1995
• Nouri, A., Rascle, M., 'A global existence and uniqueness theorem for a model problem in dynamic elasto-plasticity with isotropic strain-hardening', SIAM J. Math. Anal., 26 (4), 850-868, 1995.
• Nouri, A., 'Paraxial approximation of the Vlasov-Maxwell system: laminar beams', Mathematical Models and Methods in Applied Sciences, 4 (2), 203-221, 1994.
• Nouri, A., Chossat, P., 'Shock waves of small amplitude in elastoplastic solids', European Journal of Mechanics, A Solids, 12 (1), 95-124, 1993.
• Greenberg, J.M., Nouri, A., 'Antiplane shearing motions of a visco-plastic solid', SIAM J. Math. Anal., 24 (4), 943-967, 1993. visco-plastic1993

• Guillaume Royat: “Sur l'équation d'Uehling-Uhlenbeck: solutions non homogènes en espace”, defended on september 25th 2010. Guillaume is presently ATER at the Franche-Comté University.
• Stéphane Brull: “Etude cinétique d'un gaz à plusieurs composantes”, defended on september 28th 2006. Stéphane Brull is presently assistant professor at the Bordeaux University, since september 2008.
• Martine Chane-Yook (co-directed with S.Clerc, Alcatel, and S.Piperno, Inria Sophia-Antipolis): “Etude d'une équation cinétique liée à l'effet Compton - Modélisation et simulation 3D de la charge d'un satellite en environnement plasmique”, defended on december 1st 2004. Martine Chane-Yook is presently engineer at the Paris-XI University.
• François Severin (co-directed with A.De la Bourdonnaye, Inria Sophia-Antipolis): “Etude de la modélisation de décharges sous vide et simulations”, defended on october 26th 1998. François Severin is presently engineer at CRIL Technology in Toulouse.
• Philippe Bechouche (codirected with F.Poupaud, University of Nice-Sophia Antipolis): “Modélisation asymptotique semi-classique en théorie du transport des particules chargées”, defended on 1997. Philippe Bechouche is presently assistant professor at Grenade's University.