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UID:5794@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230117T110000
DTEND;TZID=Europe/Paris:20230117T120000
DTSTAMP:20241120T200218Z
URL:https://www.i2m.univ-amu.fr/evenements/symmetric-hyperbolic-conservati
 on-laws-modelling-viscoelastic-flows-of-maxwell-fluids/
SUMMARY:Sebastien Boyaval (Ecole des Ponts ParisTech): Symmetric-hyperbolic
  conservation laws modelling viscoelastic flows of Maxwell fluids
DESCRIPTION:Sebastien Boyaval: Many equations have been proposed to model v
 iscoelastic flows.\nSeminal equations have been proposed by Maxwell in 186
 7 for fluids with stress relaxation.\nThe famous Upper-Convected Maxwell e
 quations are useful for one-dimensional flows in particular.\nBut the usab
 ility of Maxwell fluids for multi-dimensional viscoelastic flows has remai
 ned limited\, as shown by numerous numerical simulations that do not conve
 rge when the discretization parameters are refined beyond a critical value
  for the relaxation-time of the stress.\nAs a remedy\, we propose to consi
 der a system of conservation laws with algebraic source terms (balance law
 s) to model viscoelastic flows.\nOur system is symmetric-hyperbolic\, simi
 lar to the famous K-BKZ integral viscoelastic models\, but more versatile 
 (purely differential).\nIt rigorously unifies fluid models with elastodyna
 mics for compressible solids\, and it can be manipulated for various appli
 cations of the viscoelastic flow concept in environmental hydraulics (shal
 low-water flows) or materials engineering (non-isothermal flows).\n[su_spa
 cer size="10"]
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/12/Sebastien_Boyaval.png
CATEGORIES:Séminaire,Analyse Appliquée,Analyse et Géométrie
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
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 0
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