An elementary proof of uniqueness of particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids

被引：2
|
作者：
Berselli, Luigi C. [1 ]
Bisconti, Luca [2 ]
机构：
[1] Univ Pisa, Dipartimento Matemat Appl U Dini, I-56127 Pisa, Italy
[2] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy
来源：
NONLINEARITY | 2013年 / 26卷 / 04期
关键词：
WEAK SOLUTIONS; LAGRANGIAN TRAJECTORIES; REGULARITY; FLOWS;
D O I：
10.1088/0951-7715/26/4/1031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some regularity results for a class of two-dimensional non-Newtonian fluids. Then, by applying results from Dashti and Robinson (2009 Nonlinearity 22 735-46), we show uniqueness of particle trajectories.
引用
收藏
页码：1031 / 1047
页数：17
相关论文
共 50 条
  • [1] Distributed Control for Shear-Thinning Non-Newtonian Fluids
    Telma Guerra
    Journal of Mathematical Fluid Mechanics, 2012, 14 : 771 - 789
  • [2] Distributed Control for Shear-Thinning Non-Newtonian Fluids
    Guerra, Telma
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2012, 14 (04) : 771 - 789
  • [3] Characteristics of stratified flows of Newtonian/non-Newtonian shear-thinning fluids
    Picchi, Davide
    Poesio, Pietro
    Ullmann, Amos
    Brauner, Neima
    INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2017, 97 : 109 - 133
  • [4] Influence of low-frequency oscillatory motion on particle settling in Newtonian and shear-thinning non-Newtonian fluids
    Amaratunga, Maduranga
    Rabenjafimanantsoa, Herimonja A.
    Time, Rune W.
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2021, 196
  • [5] THE VISCOSITY DISTRIBUTION AROUND A RISING BUBBLE IN SHEAR-THINNING NON-NEWTONIAN FLUIDS
    Li, Shaobai
    Ma, Youguang
    Fu, Taotao
    Zhu, Chunying
    Li, Huaizhi
    BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING, 2012, 29 (02) : 265 - 274
  • [6] Formation of Droplets of Shear-Thinning Non-Newtonian Fluids in Asymmetrical Parallelized Microchannels
    Dong, Yanpeng
    Xiang, Xingyu
    Wang, Zhongdong
    Zhu, Chunying
    Ma, Youguang
    Fu, Taotao
    LANGMUIR, 2023, 39 (06) : 2218 - 2232
  • [7] Laminar flow of non-Newtonian shear-thinning fluids in a T-channel
    Khandelwal, Vinit
    Dhiman, Amit
    Baranyi, Laszlo
    COMPUTERS & FLUIDS, 2015, 108 : 79 - 91
  • [8] Rising behavior and mass transfer of CO 2 bubbles in shear-thinning non-Newtonian fluids
    Xu, Xiaofei
    Li, Xiaolong
    Li, Zhi
    Zhang, Da
    CHEMICAL ENGINEERING RESEARCH & DESIGN, 2024, 207 : 232 - 242
  • [9] On the partial regularity of suitable weak solutions in the non-Newtonian shear-thinning case
    Beirao da Veiga, Hugo
    Yang, Jiaqi
    NONLINEARITY, 2021, 34 (01) : 562 - 577
  • [10] Formation of droplets of shear-thinning non-Newtonian fluids in a step-emulsification microdevice
    Liu, Xiyang
    Liu, Ziwei
    Jiang, Shaokun
    Zhu, Chunying
    Ma, Youguang
    Fu, Taotao
    AICHE JOURNAL, 2022, 68 (01)
12345