On the local strong solutions for the FENE dumbbell model

Ondřej Kreml; Milan Pokorný

doi:10.3934/dcdss.2010.3.311

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2010, Volume 3, Issue 2: 311-324. Doi: 10.3934/dcdss.2010.3.311

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On the local strong solutions for the FENE dumbbell model

Ondřej Kreml^1, and
Milan Pokorný^1,

1.
Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8

Received: February 28, 2009

Revised: May 31, 2009

Published: May 2010

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Abstract

We consider a model for the polymeric fluid which has recently been studied in [12]. We show the local-in-time existence of a strong solution to the corresponding system of partial differential equations under less regularity assumptions on the initial data than in the mentioned paper. The main difference in our approach is the use of the $L^p$ theory for the Stokes system.

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Mathematics Subject Classification: Primary: 35Q35, 76D03; Secondary: 35Q30.

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