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SUMMARY:Jacques Smulevici (Sorbonne Université)
DTSTART:20251106T143000Z
DTEND:20251106T153000Z
DTSTAMP:20260423T023046Z
UID:jomarec/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/46/"
 >Non-linear waves and time-periodicity</a>\nby Jacques Smulevici (Sorbonne
  Université) as part of JoMaReC - Joint Online Mathematical Relativity Co
 lloquium\n\n\nAbstract\nI will give an overview talk concerning the possib
 le existence and stability of solutions to non-linear wave equations which
  are periodic in time. Such solutions can arise in a variety of mathematic
 al models\, from fluid dynamics\, elasticity\, and general relativity\, wh
 ere in particular\, there were investigated numerically by Maliborski and 
 Rostworowski (2013) for the Einstein-scalar-field model in spherically sym
 metry near the Anti-de-Sitter spacetime. \n\nI will start the presentation
  with some reminder concerning the linear wave equation on Anti-de-Sitter 
 before presenting some results and methods for semi-linear wave equations.
  In a second part\, I will describe a recent construction of special coord
 inates for 1+1 Lorentzian metric on \\mathbb{R}\\times\\mathcal{S}^1 with 
 time-periodic coefficients\, which is expected to be an essential step to 
 extend the previous results to quasi linear wave equations.\n\nThis a join
 t work with Athanasios Chatzikaleas (National and Kapodistrian University 
 of Athens ).\n
LOCATION:https://researchseminars.org/talk/jomarec/46/
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