Abstract
We investigate the system of nonlinear partial differential equations governing the unsteady motion of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain under Navier’s slip boundary condition. We prove the existence of global weak solutions for the corresponding initial-boundary value problem without assuming that the model constants, body force or the initial values of the velocity and the stress tensor are small.
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The reported study was funded by RFBR according to the research project No. 16-31-00182.
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Baranovskii, E.S., Artemov, M.A. Global Existence Results for Oldroyd Fluids with Wall Slip. Acta Appl Math 147, 197–210 (2017). https://doi.org/10.1007/s10440-016-0076-z
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DOI: https://doi.org/10.1007/s10440-016-0076-z
Keywords
- Viscoelastic fluid
- Oldroyd fluid
- Jaumann derivative
- Slip boundary condition
- Weak solutions
- Global existence