The influence of boundary conditions on the contact problem in a 3D Navier-Stokes flow

被引：46
|
作者：
Gerard-Varet, David [1 ]
Hillairet, Matthieu [2 ,3 ]
Wang, Chao [1 ,4 ]
机构：
[1] Univ Paris 07, CNRS UMR 7586, Inst Math Jussieu, F-75013 Paris, France
[2] Univ Paris 09, CNRS UMR 7584, F-75775 Paris 16, France
[3] Univ Lyon 1, CNRS UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France
[4] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2015年 / 103卷 / 01期
关键词：
Fluid/solid interactions; Navier boundary conditions; Contact issue; WEAK SOLUTIONS; RIGID BODIES; ELASTOHYDRODYNAMIC COLLISION; MOTION; FLUID; EXISTENCE; EQUATIONS; SPHERE; WALL; DENSITY;
D O I：
10.1016/j.matpur.2014.03.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On considere la chute d'une sphere au-dessus d'un plan dans un fluide visqueux incompressible. On etudie Pinfluence des conditions aux bords sur l'apparition de contact entre la sphere et le plan en temps fini. On montre que l'introduction de glissement permet de resoudre le paradoxe de "non-collision" associe au conditions aux bords et on etudie egalement le cas de conditions aux bords mixtes. (C) 2014 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：1 / 38
页数：38
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