Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

External Research Organisations

  • Universite Paris Dauphine
  • Universite de Toulouse
View graph of relations

Details

Original languageEnglish
Pages (from-to)1975-2019
Number of pages45
JournalIndiana University Mathematics Journal
Volume60
Issue number6
Publication statusPublished - 2011

Abstract

We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.

Keywords

    Degenerate parabolic system, Thin film, Weak solution

ASJC Scopus subject areas

Cite this

Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. / Escher, Joachim; Hillairet, Matthieu; Laurençot, Philippe et al.
In: Indiana University Mathematics Journal, Vol. 60, No. 6, 2011, p. 1975-2019.

Research output: Contribution to journalArticleResearchpeer review

Download
@article{91c3ae3c04c84458a3f09118ab48d73a,
title = "Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant",
abstract = "We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.",
keywords = "Degenerate parabolic system, Thin film, Weak solution",
author = "Joachim Escher and Matthieu Hillairet and Philippe Lauren{\c c}ot and Christoph Walker",
year = "2011",
doi = "10.1512/iumj.2011.60.4447",
language = "English",
volume = "60",
pages = "1975--2019",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "6",

}

Download

TY - JOUR

T1 - Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant

AU - Escher, Joachim

AU - Hillairet, Matthieu

AU - Laurençot, Philippe

AU - Walker, Christoph

PY - 2011

Y1 - 2011

N2 - We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.

AB - We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.

KW - Degenerate parabolic system

KW - Thin film

KW - Weak solution

UR - http://www.scopus.com/inward/record.url?scp=84873667401&partnerID=8YFLogxK

U2 - 10.1512/iumj.2011.60.4447

DO - 10.1512/iumj.2011.60.4447

M3 - Article

AN - SCOPUS:84873667401

VL - 60

SP - 1975

EP - 2019

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

IS - 6

ER -

By the same author(s)