Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials

被引：6

作者：

Matioc, Bogdan-Vasile ^{[1
]}

Prokert, Georg ^{[2
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[2] Tech Univ Eindhoven, Fac Math & Comp Sci, Eindhoven, Netherlands

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2021年 / 151卷 / 06期

关键词：

Stokes problem; two-phase; singular integrals; contour integral formulation; MUSKAT PROBLEM; INTERFACE; REGULARITY;

D O I：

10.1017/prm.2020.82

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assumed to be two-dimensional with the fluids filling the entire space. We prove well-posedness and parabolic smoothing in Sobolev spaces up to critical regularity. The main technical tools are an analysis of nonlinear singular integral operators arising from the hydrodynamic single-layer potential and abstract results on nonlinear parabolic evolution equations.

引用

页码：1815 / 1845

页数：31

共 50 条

[21] Effective conductivity of 2D isotropic two-phase systems in a magnetic field
Bulgadaev, SA
Kusmartsev, FV
JETP LETTERS, 2005, 81 (03) : 125 - 130
[22] Effective conductivity of 2D isotropic two-phase systems in a magnetic field
S. A. Bulgadaev
F. V. Kusmartsev
Journal of Experimental and Theoretical Physics Letters, 2005, 81 : 125 - 130
[23] 2D Green's Functions for Two-phase Orthotropic Piezothermoelastic Plane
Hou, Peng-Fei
Luo, Zhi-Wei
Leung, Andrew Y. T.
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 2010, 21 (05) : 557 - 565
[24] Zero-power infrared switch with two-phase microfluidic flow and a 2D material thermal isolation layer
Zhang, Zekun
Li, Peng
Zou, Yixuan
MICROSYSTEMS & NANOENGINEERING, 2024, 10 (01):
[25] Modelling of kinetic interface sensitive tracers reactive transport in 2D two-phase flow heterogeneous porous media
Tatomir, Alexandru
Zhou, Dejian
Gao, Huhao
Dimache, Alexandru-Nicolae
Iancu, Iulian
Sauter, Martin
SUSTAINABLE SOLUTIONS FOR ENERGY AND ENVIRONMENT (EENVIRO 2018), 2019, 85
[26] Pore-scale modeling of non-isothermal two phase flow in 2D porous media: Influences of viscosity, capillarity, wettability and heterogeneity
Amiri, H. A. Akhlaghi
Hamouda, A. A.
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2014, 61 : 14 - 27
[27] Application of the two-phase filtered density function approach for LES of a 2D droplet laden turbulent mixing layer
Carrara, MD
DesJardin, PE
Computational Methods in Multiphase Flow III, 2005, 50 : 283 - 291
[28] Hydrodynamic Characteristics of N2-[Bmim][NO3] Two-Phase Taylor Flow in Microchannels
Wang, Tingting
Hu, Zongyuan
Zhang, Lu
Wang, Junnan
Zhang, Xiangping
Li, Zengxi
Dong, Haifeng
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2021, 60 (47) : 17248 - 17258
[29] Transition of a 2D crystal to a non-equilibrium two-phase coexistence state
Singh, Swarnima
Bandyopadhyay, P.
Kumar, Krishan
Hariprasad, M. G.
Arumugam, S.
Sen, A.
PHYSICS OF PLASMAS, 2023, 30 (04)
[30] Classification of two-phase flow regimes via image analysis by a neuro-wavelet approach
Sunde, C
Avdic, S
Pázsit, I
APPLIED COMPUTATIONAL INTELLIGENCE, 2004, : 236 - 239

← 1 2 3 4 5 →