À propos de mathématiques
Regular flows of viscoelastic fluids and the incompressible limit
Salloum, Zaynab1, 2
1 Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées, UMR CNRS 8050, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France, and
2 Université Libanaise, Faculté des Sciences, Beyrouth, Liban
Femmes & math, Forum 9 des Jeunes Mathématiciennes, Tome 9 (2010), pp. 107-110.

We consider compressible viscoelastic fluids obeying the Oldroyd constitutive law. Local existence and uniqueness of flows are proven by a classical fixed point argument. Some global properties of the solutions are also derived. In particular, we obtain some a priori estimates which are uniform in the Mach number and prove global existence of weakly compressible fluid flows. We show that weakly compressible flows with well-prepared initial data converge to incompressible ones when the Mach number goes to zero.

Publié le :
Salloum, Zaynab 1, 2

1 Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées, UMR CNRS 8050, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France, and
2 Université Libanaise, Faculté des Sciences, Beyrouth, Liban 
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Salloum, Zaynab. Regular flows of viscoelastic fluids and the incompressible limit. Femmes & math, Forum 9 des Jeunes Mathématiciennes, Tome 9 (2010), pp. 107-110. http://www.numdam.org/item/RFM_2010__9__107_0/

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