Two-phase flow in rotating Hele-Shaw cells with Coriolis effects

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

External Research Organisations

  • University of California at Irvine
View graph of relations

Details

Original languageEnglish
Pages (from-to)237-261
Number of pages25
JournalInterfaces and Free Boundaries
Volume15
Issue number2
Publication statusPublished - 17 Sept 2013

Abstract

The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is characterized in dependence on the fluid densities. 2010 Mathematics Subject Classification: Primary 35K90, 35Q35, 42A16.

Keywords

    Free boundary problem, Stability of equilibria, Two phase flow, Well-posedness

ASJC Scopus subject areas

Cite this

Two-phase flow in rotating Hele-Shaw cells with Coriolis effects. / Escher, Joachim; Guidotti, Patrick; Walker, Christoph.
In: Interfaces and Free Boundaries, Vol. 15, No. 2, 17.09.2013, p. 237-261.

Research output: Contribution to journalArticleResearchpeer review

Escher J, Guidotti P, Walker C. Two-phase flow in rotating Hele-Shaw cells with Coriolis effects. Interfaces and Free Boundaries. 2013 Sept 17;15(2):237-261. doi: 10.4171/IFB/302, 10.15488/2363
Escher, Joachim ; Guidotti, Patrick ; Walker, Christoph. / Two-phase flow in rotating Hele-Shaw cells with Coriolis effects. In: Interfaces and Free Boundaries. 2013 ; Vol. 15, No. 2. pp. 237-261.
Download
@article{f43f9792201d4f2fa43744930397be48,
title = "Two-phase flow in rotating Hele-Shaw cells with Coriolis effects",
abstract = "The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is characterized in dependence on the fluid densities. 2010 Mathematics Subject Classification: Primary 35K90, 35Q35, 42A16.",
keywords = "Free boundary problem, Stability of equilibria, Two phase flow, Well-posedness",
author = "Joachim Escher and Patrick Guidotti and Christoph Walker",
year = "2013",
month = sep,
day = "17",
doi = "10.4171/IFB/302",
language = "English",
volume = "15",
pages = "237--261",
journal = "Interfaces and Free Boundaries",
issn = "1463-9963",
publisher = "European Mathematical Society Publishing House",
number = "2",

}

Download

TY - JOUR

T1 - Two-phase flow in rotating Hele-Shaw cells with Coriolis effects

AU - Escher, Joachim

AU - Guidotti, Patrick

AU - Walker, Christoph

PY - 2013/9/17

Y1 - 2013/9/17

N2 - The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is characterized in dependence on the fluid densities. 2010 Mathematics Subject Classification: Primary 35K90, 35Q35, 42A16.

AB - The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is characterized in dependence on the fluid densities. 2010 Mathematics Subject Classification: Primary 35K90, 35Q35, 42A16.

KW - Free boundary problem

KW - Stability of equilibria

KW - Two phase flow

KW - Well-posedness

UR - http://www.scopus.com/inward/record.url?scp=84884837408&partnerID=8YFLogxK

U2 - 10.4171/IFB/302

DO - 10.4171/IFB/302

M3 - Article

AN - SCOPUS:84884837408

VL - 15

SP - 237

EP - 261

JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

SN - 1463-9963

IS - 2

ER -

By the same author(s)