{"id":283,"date":"2017-12-20T15:30:36","date_gmt":"2017-12-20T13:30:36","guid":{"rendered":"http:\/\/sites.univ-tln.fr\/master-math\/?p=283"},"modified":"2018-04-04T13:48:23","modified_gmt":"2018-04-04T11:48:23","slug":"topics-2017-2018","status":"publish","type":"post","link":"https:\/\/sites.univ-tln.fr\/master-math\/en\/topics-2017-2018\/","title":{"rendered":"Topics 2017-2018"},"content":{"rendered":"
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  1. [M1] N. Boizot<\/a> (LIS)<\/strong> Hybrid Dynamical Systems : formalism and stability.<\/em>\n
    Hybrid dynamical systems exhibit both continuous and instantaneous changes, they therefore have features from both continuous-time and discrete time dynamical systems. In other words, they are made of a mixture of differential and difference equations. <\/div>\n
    The proposed work consist in studying:<\/div>\n
    — the formalism of hybrid dynamical systems,<\/div>\n
    — some elementary examples;<\/div>\n
    — a few stability theorems.<\/div>\n
    Depending on the candidate prior knowledge in this field, the last part may imply the study of classical stability theorems for pure continuous and pure discrete dynamical systems.<\/div>\n
    Main reference: R. Goebel, R. G. Sanfelice, A. R. Teel, Hybrid Dynamical Systems (Modeling, Stability and Robustness), <\/em>Princeton University Press, 2012.<\/div>\n<\/li>\n
  2. [M2] G.Bouchitt\u00e9<\/a>, T. Champion<\/a> (IMATH)<\/strong> Transport optimal : formulation dynamique et g\u00e9od\u00e9siques. <\/em>
    \nOn abordera la formulation dynamique d’une nouvelle classe de probl\u00e8mes de transport optimal faisant intervenir un co\u00fbt non lin\u00e9aire par rapport au plan de transport. On \u00e9tudiera \u00e9galement les g\u00e9od\u00e9siques li\u00e9es \u00e0 ce type de co\u00fbt.<\/li>\n
  3. [M2] T. Champion<\/a> (IMATH)<\/strong> M\u00e9thodes num\u00e9riques pour le transport optimal multimarginal avec co\u00fbt de Coulomb. <\/em>
    \nLe transport multimarginal avec co\u00fbt de Coulomb intervient en chimie quantique dans le cadre du mod\u00e8le dit DFT (Density Functional Theory). L’objet du stage est d’\u00e9tudier les m\u00e9thodes num\u00e9riques existantes dans ce cadre, et d’exploiter en particulier une approche primale-duale.<\/li>\n
  4. [M1\/2] T. Champion<\/a>, M. Ersoy<\/a> (IMATH)<\/strong> Nesterov’s method and an differential equation modelling.<\/em>
    \nNesterov’s method (1983) is an accelerated gradient method whose convergence is proven to be optimal for the minimization of a convex function. This optimality has recently been justified by several authors via a second order differential equations approach. We shall study these works, as well as apply the method on some modelisation problem.<\/li>\n
  5. [M1\/2] S. Meradji<\/a> (IMATH)<\/strong> Modeling of flame spread in engineered cardboard fuelbeds.<\/em>
    \nCf.     ici<\/a><\/li>\n
  6. [M2] A.Novotny<\/a> (IMATH)<\/strong> La technique de r\u00e9gularisation et solutions renormalis\u00e9es pour l’\u00e9quation de transport.<\/em>
    \nDans ce m\u00e9moire on se propose d’\u00e9tudier la m\u00e9thode de r\u00e9gularisation pour l’\u00e9quation de transport avec les coefficients dans des espaces de Sobolev introduite en 1989 par R. Di-Perna et P.L. Lions. On d\u00e9finira les solutions renormalis\u00e9es et examinera leurs propri\u00e9t\u00e9s comme par exemple continuit\u00e9 en temps, l’unicit\u00e9, ou encore les effets de compactification.<\/li>\n
  7. [M1] C-A. Pillet<\/a> (CPT)<\/strong> G\u00e9om\u00e9trie de l’information.<\/em>
    \nCf.     ici<\/a><\/li>\n
  8. [M1] M. Rouleux<\/a> (CPT)<\/strong> El\u00e9ments de M\u00e9canique Statistique Quantique.<\/em>
    \nCf.     ici<\/a><\/li>\n
  9. [M2] M. Rouleux<\/a> (CPT)<\/strong> D\u00e9croissance des corr\u00e9lations pour le mod\u00e8le de Hubbard sur un r\u00e9seau 2-D.<\/em>
    \nCf.     ici<\/a><\/li>\n
  10. [M2] M. Rouleux<\/a> (CPT)<\/strong> Vorticit\u00e9 sur un groupe de Lie.<\/em>
    \nCf.     ici<\/a><\/li>\n
  11. [M1] A. Sili<\/a> (CMI, Marseille) <\/strong>Valeurs propres et solutions de probl\u00e8mes aux limites.<\/em>
    \nCf.     ici<\/a> <\/li>\n<\/ol>\n<\/div>\n

    Other research institutes
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    1. [M2] J. Boisse (LEMTA, Universit\u00e9 de Lorraine)  <\/b>Rh\u00e9ologie des Polym\u00e8res Semi-Cristallins (PSC), Mod\u00e9lisation de syst\u00e8mes visco\u00e9lastiques h\u00e9t\u00e9rog\u00e8nes.<\/em>
      \nPr\u00e9sentation :       Proposition_stage-M2-BOISSE-2018<\/a><\/li>\n<\/ol>\n<\/div>\n
      Companies <\/b><\/div>\n
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      1. [M2] ALTEN <\/b> Mod\u00e9lisation physico-math\u00e9matique.<\/em>
        \nPr\u00e9sentation :         Proposition_stage-M2-ALTEN-2018.pdf<\/a><\/li>\n
      2. [M2] SEREEMA<\/strong> Am\u00e9lioration et optimisation des performances des \u00e9oliennes.<\/em>
        \nPr\u00e9sentation :         Proposition_stage-M2-SEREEMA-2018.pdf<\/a><\/li>\n<\/ol>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

          [M1] N. Boizot (LIS) Hybrid Dynamical Systems : formalism and stability. Hybrid dynamical systems exhibit both continuous and instantaneous changes, they therefore have features from both continuous-time and discrete time dynamical systems. In other words, they are made of a mixture of differential and difference equations.  The proposed work consist in studying: — the […]<\/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":[19],"tags":[],"class_list":["post-283","post","type-post","status-publish","format-standard","hentry","category-master-thesis-topics"],"_links":{"self":[{"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts\/283","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=283"}],"version-history":[{"count":8,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts\/283\/revisions"}],"predecessor-version":[{"id":309,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/posts\/283\/revisions\/309"}],"wp:attachment":[{"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/media?parent=283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/categories?post=283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.univ-tln.fr\/master-math\/wp-json\/wp\/v2\/tags?post=283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}