Global Existence Results for Oldroyd Fluids with Wall Slip
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- 作者：E. S. Baranovskii ; M. A. Artemov
- 关键词：Viscoelastic fluid ; Oldroyd fluid ; Jaumann derivative ; Slip boundary condition ; Weak solutions ; Global existence
- 刊名：Acta Applicandae Mathematicae
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：147
- 期：1
- 页码：197-210
- 全文大小：
- 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics;
- 出版者：Springer Netherlands
- ISSN：1572-9036
- 卷排序：147
文摘
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.