Existence and Uniqueness of the Flow of Second‐Grade Fluids with Slip Boundary Conditions

被引：0
|
作者：
Christiaan le Roux
机构：
[1] Department of Quantitative Management,
[2] University of South Africa,undefined
[3] PO Box 392,undefined
[4] Pretoria 0003,undefined
[5] South Africa,undefined
[6] e‐mail: lrouxc@alpha.unisa.ac.za,undefined
来源：
Archive for Rational Mechanics and Analysis | 1999年 / 148卷
关键词：
Boundary Condition; Initial Data; Classical Solution; Growth Restriction; Incompressible Fluid;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
. This paper treats the solvability of the equations of motion for an incompressible fluid of grade two subject to nonlinear partial slip boundary conditions in a bounded simply‐connected domain. The existence of a unique classical solution, global in time, is proved under suitable regularity and growth restrictions on the initial data, the slip law and the body and surface forces. The method is based on a fixed-point formulation of the problem.
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页码：309 / 356
页数：47
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