Global weak solutions for some Oldroyd models

doi:10.1016/j.jde.2012.09.010

Journal of Differential Equations

Volume 254, Issue 2, 15 January 2013, Pages 660-685

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Abstract

We investigate an evolutive system of non-linear partial differential equations derived from Oldroyd models on non-Newtonian flows. We prove global existence of weak solutions, in the case of a smooth bounded domain, for general initial data. The results hold true for the periodic case.

MSC

35-XX

76-XX

76A05

35D30

74G25

Keywords

Oldroyd models

Weak solutions

Global existence

Young measure

Equi-integrability

Cited by (0)

¹: O.B. is grateful to the Laboratory of PDE and Applications at the Faculty of Sciences of Tunis.

²: M.M. is grateful to the Laboratory of PDE and Applications at the Faculty of Sciences of Tunis.