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
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
  • [41] HEAT AND MASS TRANSFER IN A BOUNDARY LAYER OF NON-NEWTONIAN FLUIDS
    LUIKOV, AV
    SHULMAN, ZP
    BERKOVSK.BM
    CHEMICAL ENGINEERING PROGRESS, 1966, 62 (07) : 79 - &
  • [42] Study on boundary layer drag reduction of non-Newtonian fluids
    Chen, Shiwei
    Chengdu Kejidaxue Xuebao/Journal of Chengdu University of Science and Technology, 2000, 32 (05): : 21 - 24
  • [43] Anomalous boundary behavior of non-Newtonian fluids on amphiphobic surfaces
    Wang, Xingwei
    Bao, Luyao
    Wen, Jun
    Dini, Daniele
    Zhang, Jianbin
    Sun, Li
    Yang, Wufang
    Zhou, Feng
    Liu, Weimin
    TRIBOLOGY INTERNATIONAL, 2022, 165
  • [44] Similarity Solutions for Boundary Layer Flow of Non-Newtonian Fluids
    Bognar, Gabriella
    LATEST TRENDS ON ENGINEERING MECHANICS, STRUCTURES, ENGINEERING GEOLOGY, 2010, : 19 - 19
  • [45] Similarity solution of boundary layer flows for non-Newtonian fluids
    Bognar, Gabriella
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (11-12) : 1555 - 1566
  • [46] A SOLUTION METHOD FOR THE GRAETZ PROBLEM FOR NON-NEWTONIAN FLUIDS WITH DIRICHLET AND NEUMANN BOUNDARY-CONDITIONS
    JOHNSTON, PR
    MATHEMATICAL AND COMPUTER MODELLING, 1994, 19 (02) : 1 - 19
  • [47] The Stochastic Boundary-Layer in the Non-Newtonian Problem
    Hou, Lei
    Li, Hanling
    Lin, Dezhi
    Qiu, Lin
    WORLD CONGRESS ON ENGINEERING, WCE 2010, VOL III, 2010, : 1872 - 1876
  • [48] Studies on the axisymmetric sphere - sphere interaction problem in Newtonian and non-Newtonian fluids
    Lee, SW
    Ryu, SH
    Kim, CY
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2003, 110 (01) : 1 - 25
  • [49] EVALUATING A NON-NEWTONIAN SHEAR-THICKENING SURFACE DURING FRUIT IMPACTS
    De Kleine, M. E.
    Karkee, M.
    TRANSACTIONS OF THE ASABE, 2015, 58 (03) : 907 - 915
  • [50] AGITATION OF NON-NEWTONIAN FLUIDS
    METZNER, AB
    AICHE JOURNAL, 1963, 9 (04) : 555 - 555