{"id":459,"date":"2020-02-05T22:23:08","date_gmt":"2020-02-05T20:23:08","guid":{"rendered":"http:\/\/sites.univ-tln.fr\/master-math\/?p=459"},"modified":"2020-02-18T16:29:33","modified_gmt":"2020-02-18T14:29:33","slug":"sujets-ter-2019-2020","status":"publish","type":"post","link":"https:\/\/sites.univ-tln.fr\/master-math\/fr\/sujets-ter-2019-2020\/","title":{"rendered":"Sujets TER 2019-2020"},"content":{"rendered":"\n
  1. [M1\/M2] N. Boizot<\/a> (LIS)<\/strong> Applications des champs de directions \u00e0 l\u2019\u00e9tude des empreintes digitales.<\/em> Voir ce fichier<\/a>. <\/li>
  2. [M1\/M2] F. Chittaro<\/a> (LSIS)<\/strong> Le Grand Th\u00e9or\u00e8me de Picard.<\/em>
    Les Th\u00e9or\u00e8mes de Picard concernent le comportement des fonctions analytiques ; en particulier, le grand Th\u00e9or\u00e8me de Picard affirme que, dans un voisinage d’une singularit\u00e9 essentielle isol\u00e9e, une fonction analytique atteint tous les valeurs complexes, sauf au plus un.
    Dans ce projet, l’\u00e9tudiant doit \u00e9tudier la preuve du Th\u00e9or\u00e8me, en particulier pour ce qui concerne le r\u00f4le de l’hypoth\u00e8se que la singularit\u00e9 est isol\u00e9e.<\/li>
  3. [M1\/M2] F. Chittaro<\/a> (LSIS)<\/strong> Le syst\u00e8me de Heisenberg en g\u00e9om\u00e9trie sous-Riemannienne et g\u00e9om\u00e9trie sous-Finslerienne.<\/em>
    Le but de ce projet et d’aborder les premi\u00e8res notions de g\u00e9om\u00e9trie sous-Riemannienne, en \u00e9tudiant le c\u00e9l\u00e8bre probl\u00e8me de la minimisation de la norme L2 pour le syst\u00e8me de Heisenberg.
    Le projet pourra poursuivre avec l’analyse du probl\u00e8me de minimisation de la norme Lp (de fa\u00e7on num\u00e9rique ou analytique).<\/li>
  4. [M2] F. Chittaro<\/a> (LSIS)<\/strong> R\u00e9gularit\u00e9 des vecteurs propres autour d’une intersection entre valeurs propres.<\/em>
    Le Th\u00e9or\u00e8me de Kato-Rellich affirme que les vecteurs propres d’une famille analytique d’op\u00e9rateurs lin\u00e9aires d\u00e9pendant d’un seule param\u00e8tre reste analytique, m\u00eame en pr\u00e9sence d’intersections entre les valeurs propres.
    Que peut-on dire sur des familles d’op\u00e9rateurs qui d\u00e9pend de fa\u00e7on C^k de la perturbation ?<\/li>
  5. [M1] S. Meradji<\/a> (IMATH)<\/strong> Slope terrain effect investigation using fire propagation FireStar3D model.<\/em>
    A 3D physics-based model referred to as \u00ab FireStar3D \u00bb has been developed in order to predict fire propagation in natural environment. It consists briefly in solving the conservation equations of the coupled system consisting of the vegetation and the surrounding gaseous medium. The model takes into account the phenomena of vegetation degradation (drying, pyrolysis, combustion), the interaction between an atmospheric boundary layer and a canopy (aerodynamic drag, heat transfer by convection and radiation, and mass transfer), and the transport within the fluid phase (convection, turbulence, gas-phase combustion). The objective of this work is to evaluate using the FireStar3D source code (written in Fortran90\/95 and parallelized with OpenMP directives) the rates of spread of grassland fires for different wind speeds and terrain slopes, and compare these rates to those obtained during experimental fires.<\/li>
  6. [M2] S. Meradji<\/a> (IMATH)<\/strong> Firebrands and spotting mathematical model implementation in fire propagation FireStar3D tool.<\/em>
    A 3D physics-based model referred to as \u00ab FireStar3D \u00bb has been developed in order to predict fire propagation in natural environment. It consists briefly in solving the conservation equations of the coupled system consisting of the vegetation and the surrounding gaseous medium. The model takes into account the phenomena of vegetation degradation (drying, pyrolysis, combustion), the interaction between an atmospheric boundary layer and a canopy (aerodynamic drag, heat transfer by convection and radiation, and mass transfer), and the transport within the fluid phase (convection, turbulence, gas-phase combustion). The objective of this work is to construct a mathematical model related to a spotting ignition by lofted firebrands and ultimately to implement it numerically in the FireStar3D source code (written in Fortran90\/95 and parallelized with OpenMP directives). Spotting ignition by lofted firebrands is a significant mechanism of fire spread, as observed in many largescale fires. The role of firebrands in fire propagation and the important parameters involved in spot fire development wille also be investigated theoretically and numerically.<\/li>
  7. [M2] G. Faccanoni<\/a> (IMATH)<\/strong> Cubic equations of state for two-phase flow LMNC model with phase transition.<\/em>
    We investigate a simplified model describing the evolution of the coolant within a nuclear reactor core (e.g. of PWR type or of RNR-Na type). This model is named LMNC (for Low Mach Nuclear Core) and consists of the coupling between three PDEs together with boundary conditions specific to the nuclear framework. The fluid is modeled by an Equation of State (EoS) describing the pure liquid and vapor phases and the phase transition. We consider here some cubic EoS with the Maxwell area rule.Simulations 1d with Matlab\/Octave or Python, 2d with FreeFem++.<\/li>
  8. [M1] C-A. Pillet<\/a> (CPT)<\/strong> Dynamique quantique des mesures r\u00e9p\u00e9t\u00e9es.<\/em>
    Un processus de mesure est une op\u00e9ration permettant d’extraire de l’information d’un syst\u00e8me physique. Dans le r\u00e9gime quantique, ces processus ont un statut particulier. Bien que la m\u00e9canique quantique n’aie jamais \u00e9t\u00e9 mise en d\u00e9faut, les probl\u00e8mes conceptuels pos\u00e9s par la mesure ont de ce fait hant\u00e9 l’histoire de son d\u00e9veloppement, d\u00e8s son origine. Le raffinement des techniques exp\u00e9rimentales dont disposent aujourd’hui les physiciens pour sonder le monde quantique permettent d’acc\u00e9der au coeur des processus de mesure et de tester ainsi les pr\u00e9dictions de la th\u00e9orie (c.f. prix Nobel 2012 de S.Haroche et D. Wineland). Bien que la description d’une mesure soit tr\u00e8s simple du point de vue math\u00e9matique, la r\u00e9p\u00e9tition de cette mesure g\u00e9n\u00e8re un syst\u00e8me dynamique encore peu \u00e9tudi\u00e9 et mal compris. L’objectif de ce stage est l’\u00e9tude d’un exemple simple de mesure r\u00e9p\u00e9t\u00e9e dont les propri\u00e9t\u00e9s statistiques sont encore inconnues.<\/li>
  9. [M1\/M2] M. Rouleux<\/a> (CPT)<\/strong> Intrication multimode pour des fermions.<\/em>
    Voir     ce fichier<\/a>.<\/li>
  10. [M2] M. Rouleux<\/a> (CPT)<\/strong> Series spectrales et points de Lagrange.<\/em>
    Voir     ce fichier<\/a>.<\/li>
  11. [M1\/M2]<\/strong> P. V\u00e9ron<\/strong><\/a> (IMATH)<\/strong> Information set decoding of lee-metric codes over finite rings.<\/em>
    Voir     ce fichier<\/a>.<\/li><\/ol>\n\n\n\n

    Entreprises et autres Universit\u00e9s.
    <\/strong><\/p>\n\n\n\n

    1. [M2] Association Recherche et Avenir<\/a> (Draguignan)<\/strong> Statistiques extr\u00eames 1D et probabilit\u00e9s conditionn\u00e9es de param\u00e8tres extr\u00eames (analyse 2D).<\/em>
      Voir       ce fichier<\/a>.<\/li>
    2. [M2] ALTEN<\/a> <\/strong> Plusieurs propositions de stages.<\/strong><\/em>
      Voir les deux fichiers suivants, provenant des sites de Paris et Rennes, et contenant chacun plusieurs propositions :       fichier-Paris<\/a> et fichier-Rennes<\/a>.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"

      [M1\/M2] N. Boizot (LIS) Applications des champs de directions \u00e0 l\u2019\u00e9tude des empreintes digitales. Voir ce fichier. [M1\/M2] F. Chittaro (LSIS) Le Grand Th\u00e9or\u00e8me de Picard.Les Th\u00e9or\u00e8mes de Picard concernent le comportement des fonctions analytiques ; en particulier, le grand Th\u00e9or\u00e8me de Picard affirme que, dans un voisinage d’une singularit\u00e9 essentielle isol\u00e9e, une fonction analytique […]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-459","post","type-post","status-publish","format-standard","hentry","category-sujets-de-ter"],"_links":{"self":[{"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts\/459","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/comments?post=459"}],"version-history":[{"count":14,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts\/459\/revisions"}],"predecessor-version":[{"id":537,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts\/459\/revisions\/537"}],"wp:attachment":[{"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/media?parent=459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/categories?post=459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/tags?post=459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}