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SUMMARY:David Lannes (Institut de Mathématiques de Bordeaux\,  Universit
 é de Bordeaux)
DTSTART:20200903T140000Z
DTEND:20200903T145000Z
DTSTAMP:20260423T035612Z
UID:IMS/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/54/">Flo
 ating objects and dispersive perturbations of hyperbolic initial boundary 
 value problems</a>\nby David Lannes (Institut de Mathématiques de Bordeau
 x\,  Université de Bordeaux) as part of PDE seminar via Zoom\n\n\nAbstrac
 t\nWe will show in this talk how some models for the description of the in
 teractions of waves with floating structures can be formulated as hyperbol
 ic initial boundary value problems or (depending on the model chosen for t
 he propagation of the waves)\, dispersive perturbations of such problems.\
 n\n\nAfter recalling some classical results on hyperbolic initial boundary
  value problems (in particular on the nature of the admissible boundary co
 nditions)\, we will explain how the presence of a dispersive perturbation 
 in the equations drastically changes the nature of the equations. These di
 fferent behaviors raise several questions\, one of which being nature of t
 he dispersionless limit. We will show that the presence of dispersive boun
 dary layers make this limit singular\, and explain how to control them on 
 an example motivated by a model for wave-structure interactions.\n
LOCATION:https://researchseminars.org/talk/IMS/54/
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