On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids

被引：0
|
作者：
Wang Shu [1 ]
Yuan Fang [1 ,2 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
[2] China Everbright Bank, Beijing 100054, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 01期
关键词：
On free boundary problem; the non-Newtonian shear thickening fluids; vacuum; EXISTENCE;
D O I：
10.4208/jpde.v34.n1.2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniformestimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.
引用
收藏
页码：14 / 41
页数：28
相关论文
共 50 条
  • [1] Existence of free-boundary for a two non-Newtonian fluids problem
    Gomez, N
    Zolésio, JP
    SHAPE OPTIMIZATION AND OPTIMAL DESIGN, 2001, 216 : 289 - 300
  • [2] SOME　RESULTS　OF　BOUNDARY　PROBLEM　OF　NON-NEWTONIAN　FLUIDS
    SHI Xiaoding(Institute of Systems Science
    Systems Science and Mathematical Sciences, 1996, (02) : 107 - 119
  • [3] Unsteady non-Newtonian fluid flows with boundary conditions of friction type: The case of shear thickening fluids
    Boukrouche, Mahdi
    Debbiche, Hanene
    Paoli, Laetitia
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 216
  • [4] Free surface problem of stationary non-Newtonian fluids
    Bae, HO
    Cho, K
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (1-2) : 243 - 258
  • [5] NON-NEWTONIAN VISCOSITY OF ATOMIC FLUIDS IN SHEAR AND SHEAR-FREE FLOWS
    PIERLEONI, C
    RYCKAERT, JP
    PHYSICAL REVIEW A, 1991, 44 (08): : 5314 - 5317
  • [6] RAYLEIGHS PROBLEM OF NON-NEWTONIAN FLUIDS
    TANAKA, Y
    INTERNATIONAL CHEMICAL ENGINEERING, 1971, 11 (04): : 771 - &
  • [7] Flocking particles in a non-Newtonian shear thickening fluid
    Mucha, Piotr B.
    Peszek, Jan
    Pokorny, Milan
    NONLINEARITY, 2018, 31 (06) : 2703 - 2725
  • [8] Non-Newtonian fluid flow through a planar symmetric expansion: Shear-thickening fluids
    Ternik, P
    Marn, J
    Zunic, Z
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2006, 135 (2-3) : 136 - 148
  • [9] BOUNDARY-LAYERS IN NON-NEWTONIAN FLUIDS
    ASTIN, J
    JONES, RS
    LOCKYER, P
    JOURNAL DE MECANIQUE, 1973, 12 (03): : 527 - 539
  • [10] NOTE ON THE PROBLEM OF COMPRESSIBLE NON-NEWTONIAN FLUIDS
    Caggio, M.
    Necasova, S.
    CONFERENCE TOPICAL PROBLEMS OF FLUID MECHANICS 2019: PROCEEDINGS, 2019, : 31 - 36
12345