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UID:6975@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190923T000000
DTEND;TZID=Europe/Paris:20190927T000000
DTSTAMP:20241212T140926Z
URL:https://www.i2m.univ-amu.fr/evenements/inhomogeneous-flows-asymptotic-
 models-and-interfaces-evolution/
SUMMARY:School (CIRM\, Luminy\, Marseille): Inhomogeneous Flows: Asymptotic
  Models and Interfaces Evolution
DESCRIPTION:School: MASTERCLASS\nFluides inhomogènes: modèles asymptotiqu
 es et évolution d'interfaces\nInhomogeneous Flows: Asymptotic Models and 
 Interfaces Evolution\n-\nThis conference is part of the ”Semaines CIRM-S
 MF” program and is dedicated to the mathematical analysis of non homogen
 eous models of fluid mechanics.\nThis project of conference follows the th
 emes of the ANR-15-CE40-0011 INFAMIE. It has for vocation to bring togethe
 r internationally recognized experts of every continents coming from vario
 us branches of mathematical fluid dynamics and young researchers being int
 erested in the fluid mechanics and\, more particularly\, in the evolution 
 of inhomogeneous fluids where problems of interfaces occur.\n-\nThe PDEs m
 odelling mixtures and the nonhomogeneous fluids arise naturally in numerou
 s applications linked to the industry\, the biology and the environment : 
 distribution of pollutants\, problems of sedimentation\, etc. One of the m
 ajor difficulties both from numerical and theoretical viewpoints is the ev
 olution of a fluid presenting a jump of density along a curve of the plan 
 or along a surface of the space (it can be seen as a toy model for a mixtu
 re of two fluids). This kind of problem can be tackled by two approaches a
 lmost orthogonal : technics of type ” free boundaries ” where we focus
  on the equation governing the evolution of the interface\, or ”the glob
 al” approach consisting in solving the equation on all the domain\, but 
 in a functional setting containing discontinuous functions along an interf
 ace.\n-\nThis conference will be the opportunity to make the state of the 
 art on this subject which knew a considerable development since about fift
 een years. Very diverse techniques were used going of simple estimates of 
 energy to the analysis of Fourier (decomposition of Littlewood- Paley in p
 articular) and to the theory of the analytical semi-groups and the maximal
  regularity. We hope that this conference will allow to present without ta
 boo the tools of analysis coming into play in the study of the EDP (such a
 s the equations of incompressible Navier-Stokes with variable density\, or
  compressible Navier Stokes\, the equations of Korteweg\, Euler-Korteweg\,
  etc.) modeling the nonhomogeneous fluids\, and to propose new angles of a
 ttack.\n-\nThree mini-courses of 4 1/2 hours\, and eighteen 40 minutes pre
 sentations by junior and senior researchers are scheduled. The conference 
 will be more widely opened to another thirty participants that are interes
 ted in the theme\, but do not wish to give a talk.\n-\n- A first mini-cour
 se given by Peer Christian Kunstmann (Karlsruhe university) will propose a
  panorama of the theory of the semi-groups and the properties of maximal r
 egularity for the equations of parabolic type.\n- The second mini-course\,
  more forward-looking\, will be dispensed by Pascal Auscher (CNRS\, Univer
 sité de Picardie Jules Verne) and will present very recent tools of harmo
 nic analysis likely to give a new lighting to the study of the equations o
 f Navier-Stokes type.\n- Finally\, the third mini-course\, given by Sergey
  Gavrilyuk (Aix-Marseille Université) will concern the modelling of fluid
 -fluid diffuse interfaces.\n-\nOrganizers :\n- Sylvie Monniaux (I2M\, Mars
 eille)\n- Frédéric Charve (Université Paris-Est Créteil)\n- Raphaël D
 anchin (Université Paris-Est Créteil)\n- Boris Haspot (Université Paris
 -Dauphine)\nSponsors:\n- Aix-Marseille Université (AMU)\n- Agence Nationa
 le de la Recherche (ANR)\n- European Mathematical Society (EMS)\n- Institu
 t de Mathématiques de Marseille (I2M)\n- LabEx Archimède\n- Laboratoire 
 d’analyse et de mathématiques appliquées (LAMA)\n- Société Mathémat
 ique de France (SMF)\n- UPEC - Université Paris-Est Créteil\n- Ville de 
 Marseille\n\n-\n\nWEBSITE\n-\nAutre lien : CIRM
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 019/09/image_aa-the_great_wave_off_kanagawa-x400.jpg
CATEGORIES:École ou Master class
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TZID:Europe/Paris
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DTSTART:20190331T030000
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