A moving boundary problem for periodic Stokesian Hele-Shaw flows

被引：0

作者：

Escher, Joachim ^{[1
]}

Matioc, Bogdan-Vasile ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany

来源：

INTERFACES AND FREE BOUNDARIES | 2009年 / 11卷 / 01期

关键词：

Quasilinear elliptic equation; nonlinear parabolic equation; non-Newtonian fluid; Hele-Shaw flow;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the motion of an incompressible, viscous fluid in a Hele-Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to the corresponding moving boundary problem.

引用

页码：119 / 137

页数：19

共 50 条

[21] Kinetic undercooling in Hele-Shaw flows
Anjos, Pedro H. A.
Dias, Eduardo O.
Miranda, Jose A.
PHYSICAL REVIEW E, 2015, 92 (04):
[22] MOVING STONE IN THE HELE-SHAW FLOW
Mishuris, Gennady
Rogosin, Sergei
Wrobel, Michal
MATHEMATIKA, 2015, 61 (02) : 457 - 474
[23] Hele-Shaw flows and water waves
Crowdy, DG
JOURNAL OF FLUID MECHANICS, 2000, 409 : 223 - 242
[24] On a Hele-Shaw Flow Problem with Free and Solid Boundary Components
Mirela Kohr
Cornel Pintea
Complex Analysis and Operator Theory, 2017, 11 : 1729 - 1746
[25] Regularity of the free boundary for the one phase Hele-Shaw problem
Kim, IC
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 223 (01) : 161 - 184
[26] HELE-SHAW TYPE FLOWS IN RN
BEGEHR, H
GILBERT, RP
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (01) : 65 - 85
[27] On a Hele-Shaw Flow Problem with Free and Solid Boundary Components
Kohr, Mirela
Pintea, Cornel
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (08) : 1729 - 1746
[28] Time local existence of a moving boundary of the Hele-Shaw flow with suction
Kimura, M
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 1999, 10 : 581 - 605
[29] Hydrodynamic dispersion in Hele-Shaw flows with inhomogeneous wall boundary conditions
Dehe, Sebastian
Rehm, Imke-Sophie
Hardt, Steffen
JOURNAL OF FLUID MECHANICS, 2021, 925
[30] APPLICATIONS OF VARIATIONAL-INEQUALITIES TO A MOVING BOUNDARY-PROBLEM FOR HELE SHAW FLOWS
GUSTAFSSON, B
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1985, 16 (02) : 279 - 300

← 1 2 3 4 5 →