====== Anne Nouri 's home page====== 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 ====== Research projects ====== * Applied Mathematics to ITER * Kinetic equations * Bifurcations from a kinetic point of view * Bose-Einstein condensates ====== Publications ====== * Jabin, P.E., Nouri, A., 'Analytic solutions to a strongly nonlinear Vlasov equation', C.R.Acad. Sci. Paris, Ser. 1 349 541-546, 2011. {{:en:crass2011.pdf|}} * 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. {{:en:aemn_g.pdf|}} * 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.{{:aresmanouri2010.pdf|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. {{:en:6-gyrokinetic.pdf|}} * 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_negulescu.pdf|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.pdf|}}{{:portoercole2.pdf|}}{{:portoercole3.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. {{:condensat2.pdf|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 L^ q 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 R^ n 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., ' L^ 1 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 R^ n , 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.{{:nouri_poupaud1995.pdf|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.{{:beslabindiana1995.pdf|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. {{:nouri_greenberg1993.pdf|visco-plastic1993}} ====== Phd Students ====== * 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 december 17th 1997. Philippe Bechouche is presently assistant professor at Grenade's University.