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

• Autorzy: Ondřej Kreml , Milan Pokorný
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35Q30: Navier-Stokes equations
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 195-206

Daty

wydano

2009

Twórcy

autor

Ondřej Kreml

• Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

autor

Milan Pokorný

• Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

Identyfikatory

DOI

10.4064/bc86-0-12