Well-posedness of the coagulation-fragmentation equation with size diffusion

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Philippe Laurencot
  • Christoph Walker

Research Organisations

External Research Organisations

  • Universite de Toulouse
View graph of relations

Details

Original languageEnglish
Pages (from-to)211-240
Number of pages30
JournalDifferential and Integral Equations
Volume35
Issue number3-4
Early online date7 Feb 2022
Publication statusPublished - Mar 2022

Abstract

Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted \(L^1\)-spaces.

Keywords

    math.AP

ASJC Scopus subject areas

Cite this

Well-posedness of the coagulation-fragmentation equation with size diffusion. / Laurencot, Philippe; Walker, Christoph.
In: Differential and Integral Equations, Vol. 35, No. 3-4, 03.2022, p. 211-240.

Research output: Contribution to journalArticleResearchpeer review

Laurencot P, Walker C. Well-posedness of the coagulation-fragmentation equation with size diffusion. Differential and Integral Equations. 2022 Mar;35(3-4):211-240. Epub 2022 Feb 7. doi: 10.48550/arXiv.2110.09095, 10.57262/die035-0304-211
Laurencot, Philippe ; Walker, Christoph. / Well-posedness of the coagulation-fragmentation equation with size diffusion. In: Differential and Integral Equations. 2022 ; Vol. 35, No. 3-4. pp. 211-240.
Download
@article{817fefc8c651443fb047e96ec419c4fa,
title = "Well-posedness of the coagulation-fragmentation equation with size diffusion",
abstract = " Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted \(L^1\)-spaces. ",
keywords = "math.AP",
author = "Philippe Laurencot and Christoph Walker",
year = "2022",
month = mar,
doi = "10.48550/arXiv.2110.09095",
language = "English",
volume = "35",
pages = "211--240",
journal = "Differential and Integral Equations",
issn = "0893-4983",
publisher = "Khayyam Publishing, Inc.",
number = "3-4",

}

Download

TY - JOUR

T1 - Well-posedness of the coagulation-fragmentation equation with size diffusion

AU - Laurencot, Philippe

AU - Walker, Christoph

PY - 2022/3

Y1 - 2022/3

N2 - Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted \(L^1\)-spaces.

AB - Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted \(L^1\)-spaces.

KW - math.AP

UR - http://www.scopus.com/inward/record.url?scp=85132664156&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2110.09095

DO - 10.48550/arXiv.2110.09095

M3 - Article

VL - 35

SP - 211

EP - 240

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 3-4

ER -