# Wydawnictwa / Banach Center Publications / Wszystkie tomy

## On the local strong solutions for a system describing the flow of a viscoelastic fluid

### Tom 86 / 2009

Banach Center Publications 86 (2009), 195-206 MSC: 35Q35, 76D03, 35Q30. DOI: 10.4064/bc86-0-12

#### Streszczenie

We consider a model for the viscoelastic fluid which has recently been studied in [4] and [1]. 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 above mentioned papers. The main difference in our approach is the use of the $L^p$ theory for the Stokes system.

#### Autorzy

• Ondřej KremlMathematical Institute of Charles University
Sokolovská 83
186 75 Praha 8, Czech Republic
e-mail
• Milan PokornýMathematical Institute of Charles University
Sokolovská 83
186 75 Praha 8, Czech Republic
e-mail

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