SwissMAP Research Station (SRS)
Les Diablerets, Vaud
Switzerland
Emergent theories for wave turbulence and particle dynamics
Organisers: Marcello Porta (SISSA, Trieste) & Chiara Sario (UNIBAS)
In the last years, there has been important progress in the mathematical understanding of e ective theories for interacting quantum gases and classical uids. Notable examples are Gross-Pitaevskii theory for Bose-Einstein condensates, and the Boltzmann equation for rare ed gases. With respect to the fundamental microscopic laws of motion, e ective theories involve a much smaller number of degrees of freedom and are usually nonlinear, due to an averaging mechanism taking place at a mesoscopic/macroscopic scale. From the point of view of physics, the emergent nonlinearity is often responsible for interesting collective phenomena, turbulence in uids being one of the most striking. The workshop will focus on the analysis of e ective evolution equations for many particle systems, with a particular emphasis on the emergence of turbulence from nonlinear dynamics, and on the rigorous derivation of e ective theories starting from the fundamental laws of microscopic motion.
Confirmed Speakers
Laurent Desvillettes (Universite Paris Diderot)
Christian Hainzl (LMU Munich)
Zaher Hani (University of Michigan)
Mathieu Lewin (Universite Paris Dauphine)
Jani Lukkarinen (University of Helsinki)
Alberto Maspero (SISSA, Trieste)
Riccardo Montalto (Universita degli Studi di Milano)
Andrea Nahmod (University of Massachusetts Amherst)
Natasa Pavlovic (University of Texas Austin)
Benjamin Schlein (University of Zurich)
Robert Seiringer (IST Austria)
Sergio Simonella (ENS Lyon)
Herbert Spohn (TU Munich)
Gigliola Stalani (MIT)
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