The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen

Full-Text PDF (307 KB) | Metadata | Table of Contents | ZAA summary
Volume 33, Issue 4, 2014, pp. 481–504
DOI: 10.4171/ZAA/1524

Published online: 2014-10-15

Viscoelastic Fluid Model with Nonhomogeneous Boundary Conditions

Joanna Skonieczna[1]

(1) University of Warsaw, Poland

We deal with a viscoelastic fluid model in a rectangle domain with nontrivial velocity at the inflow and outflow area and slip boundary condition at the rest of the boundary. For this model we investigate the existence of local in time solutions. Then we present 2D simulations and we discuss the possibility of the derivation of 1D model by limit passage with the height of the rectangle to zero. Moreover, we present few 1D models that we support by simulations.

Keywords: Nonlinear partial differential equations, fluid dynamics, non-Newtonian fluid, viscoelastic fluid

Skonieczna Joanna: Viscoelastic Fluid Model with Nonhomogeneous Boundary Conditions. Z. Anal. Anwend. 33 (2014), 481-504. doi: 10.4171/ZAA/1524