Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains

• Autorzy: Rodolfo Salvi
• Języki publikacji: EN

Abstrakty

EN

In the paper [13], we give the full system of equations modelling the motion of a fluid/viscoelastic solid system, and obtain a differential model similar to the so-called Oldroyd model for a viscoelastic fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35Q30: Navier-Stokes equations
• 76A05: Non-Newtonian fluids

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 209-237

Daty

wydano

2005

Twórcy

autor

Rodolfo Salvi

• Department of Mathematics, Politecnico di Milano, P.zza L. da Vinci 32, 20133 Milan, Italy

Identyfikatory

DOI

10.4064/bc70-0-14