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Summer School 2023
200 Years of NavierStokes and Turbulences
Les Houches, France
Organisers
Nicolas Mordant – Univ. Grenoble Alpes / L.E.G.I., France
Aurore Naso – C.N.R.S. / L.M.F.A., France
John Christos Vassilicos – C.N.R.S. / L.M.F.L., France
Overview
Because of their age, the NavierStokes equations are often ambiguously qualified as "classic", thus risking the suggestion that nothing important remains to be discovered in fluid mechanics, whereas paradoxically, despite 200 years of active research, the discipline retains an unwavering youth. On the one hand, because the complexity of the NavierStokes equations means that study remains of central and broad relevance, their mathematical properties and physical implications remaining far from having been fully disclosed, in particular when it comes to the understanding of turbulent flows. On the other hand, because the major contemporary challenges that humankind must urgently face, such as climate, the environment, ecological transition and public health are inseparable from the need for major scientific advances in the understanding and modelling of NavierStokes Turbulence. Indeed, the bicentenary of the NavierStokes equations reminds us that their very birth carries the trace of an intrinsic interconnectedness as Navier was both a mathematician and a bridge engineer, anticipating a long interandmultidisciplinary tradition. Ranked among the 7 mathematical problems of the millennium by the Clay society, the NavierStokes equations is also often cited as one of the most important equations in physics and remains at the heart of many natural sciences and industrial applications.
The bicentennial of the NavierStokes equations also comes at a time when Turbulence research appears to have reached a certain degree of maturity, manifested in particular by the increasing number if bridges the discipline has built with other fields of science. Concepts intimately associated to the physics of NavierStokes Turbulence are now commonly linked to other disciplines as varied as quantum mechanics, wave physics, optics, active matter, granular media, etc. well beyond the physics of flows. It is to be hoped that these transdisciplinary bridges will also, in turn, contribute to fostering fundamental advances in unravelling the mysteries of the NavierStokes equations.
The aim of this school is to provide to Phd students, postdocs and young scientists lectures given by world experts on fundamentals aspects NavierStokes turbulence, reviewing both the accumulated knowledge over the past 200 years and the remaining challenges, open questions and new fields to be explored by next generations of scientists.
Confirmed Lecturers
Vlad Vicol  NYU
Bérengère Dubrulle  CNRS / CEA Saclay
Carlo Cossu  CNRS / LHEEA
Bérengère Poidvin  CNRS / EM2C
Joachim Peinke  Univ. Oldenburg
Stephan Fauve  ENS Paris / Physics Lab.
Gregory Falkovich  Weizman Institute
Bjorn Hof  Institute of Science and Technology Austria
Ilya Karlin  ETH Zurich
Alexander Smits  Princeton
Juan Pedro Mellado  University of Hamburg
Alain Pumir  CNRS / Lab. Physique ENS de Lyon
Sebastien Galtier  Univ. Paris Saclay / LPP
Herman Clercx  Eindhoven University of Technology
Mathieu Gibert  CNRS / Institut Néel
Topics
NavierStokes: from the maths to the actual fluid
 Mathematical aspects
 Dissipation and singularities
 Reduction of NS: LES, POD and other reduced models
 Learning approaches
NavierStokes and Statistical Physics
 Entropy, cascade and Large scales
 Lagrangian Dynamics and Irreversibility
 Transition to turbulence as a percolation phase transition
 Simulations Lattice Boltzmann
Beyond stationary homogeneous turbulence and toward classes of universal principles for a wide range of turbulent flows
 New phenomenology of nonstationary turbulence
 Wall turbulence
 Entrainment and Interfaces
 Turbulence with waves, wave turbulence: Stratified and or rotating turbulence
 Turbulent RayleighBénard and Taylor Couette
 Cryogenic turbulence: turbulence without viscosity
Registration
(all inclusive : housing and meals for the 4 weeks of school)
You will receive a confirmation of your preregistration immediately after submission.
Acceptances will be notified after review on March 15th by March 31st
(due to the large number of preregistrations, the final acceptance process wil take a bit longer than expected)
Les Houches Physics School is UMS 2002 run by Université Grenoble Alpes (UGA).
The 5 School Partners are UGA, the Institut National Polytechnique (GrenobleINP), the Centre National de la Recherche Scientifique (CNRS), the Commissariat à l'Energie Atomique (CEA), and the Ecole Normale Supérieure de Lyon (ENS Lyon).
Ecole de Physique des Houches,
149 Chemin de la Côte, F74310 Les Houches, France
https://houchesschoolphysics.com