Global weak solutions for some Oldroyd models

2012/09/01 by Olfa Bjaoui, Bjaoui, Olfa, Mohamed Majdoub +1
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.1209.0070

Submitted

arxiv created 2012/09/01 · arxiv updated 2012/09/04

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.

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