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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-524@lptms.universite-paris-saclay.fr
DTSTART:20170616T110000Z
DTEND:20170616T123000Z
DTSTAMP:20170602T113645Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-mark-hoefer-cours-1/
SUMMARY:Séminaire du LPTMS: Mark Hoefer (lecture n°1) - LPTMS\, salle 201
 \, 2ème étage\, Bât 100\, Campus d'Orsay - 16 Juin 17 11:00
DESCRIPTION:Lectures on Whitham Modulation Theory and Dispersive Hydrodynam
 ics (1)\nMark Hoefer (Department of Applied Mathematics\, University of Co
 lorado\,  Boulder\, USA)\nNonlinear wave modulation theory\, developed by
  G. B. Whitham over 50  years ago\, is a powerful mathematical tool to in
 vestigate dispersive  hydrodynamics.  Dispersive hydrodynamics encompass
  fluid and fluid-like  media in which nonlinear\, hydrodynamic phenomena 
 (e.g.\, shock formation  and expansion waves) are influenced more promine
 ntly by wave dispersion  than by irreversible\, dissipative processes. Ex
 amples include  superfluids\, intense light propagation through a nonline
 ar medium\, and  the interface between two classical fluids.  A familiar
  feature of such  media includes the solitary wave or soliton\, whose wid
 th represents the  characteristic coherence length of the medium\, e.g.\,
  the so-called  healing length of a Bose-Einstein condensate.  Whitham t
 heory is used to study modulations of nonlinear waves on a scale much larg
 er than the\nmedium's coherence length.  It has been successfully used to
  describe  the most fundamental object in dispersive hydrodynamics\, a di
 spersive  shock wave.\n\nThese lectures will introduce the listener to th
 e basic theory of  Whitham with applications to several modern examples. 
  Mathematically\,  the Whitham modulation equations are a system of firs
 t order\,  quasi-linear partial differential equations.  Properties of t
 hese  hydrodynamic type systems such as (strict) hyperbolicity\, elliptic
 ity\,  genuine nonlinearity\, and simple wave solutions will be elucidate
 d with  a view toward understanding the physical implications of these ab
 stract  concepts.  Fundamental problems in dispersive hydrodynamics such
  as the  Riemann problem and the piston problem will be described. The th
 eory  will be sufficiently developed to describe a new type of hydrodynam
 ic  interaction where a soliton coherently interacts with a hydrodynamic
   flow\, termed hydrodynamic soliton tunneling.\n\n
CATEGORIES:seminars
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
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