Steady states for a coagulation-fragmentation equation with volume scattering

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Philippe Laurençot
  • Christoph Walker

Externe Organisationen

  • Université Toulouse III – Paul Sabatier (UT3)
  • Vanderbilt University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)531-548
Seitenumfang18
FachzeitschriftSIAM Journal on Mathematical Analysis
Jahrgang37
Ausgabenummer2
PublikationsstatusVeröffentlicht - 2006
Extern publiziertJa

Abstract

A coagulation-fragmentation equation including volume scattering and collisional breakage is considered. We prove that the equation admits steady states of arbitrary mass provided that the kernels satisfy some suitable growth conditions. On the other hand, we also show that zero is the only steady state in particular cases.

ASJC Scopus Sachgebiete

Zitieren

Steady states for a coagulation-fragmentation equation with volume scattering. / Laurençot, Philippe; Walker, Christoph.
in: SIAM Journal on Mathematical Analysis, Jahrgang 37, Nr. 2, 2006, S. 531-548.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Laurençot P, Walker C. Steady states for a coagulation-fragmentation equation with volume scattering. SIAM Journal on Mathematical Analysis. 2006;37(2):531-548. doi: 10.1007/s00028-006-0279-2, 10.1137/S0036141004444111
Laurençot, Philippe ; Walker, Christoph. / Steady states for a coagulation-fragmentation equation with volume scattering. in: SIAM Journal on Mathematical Analysis. 2006 ; Jahrgang 37, Nr. 2. S. 531-548.
Download
@article{60c38f94d11d411caa9a9434702d72ce,
title = "Steady states for a coagulation-fragmentation equation with volume scattering",
abstract = "A coagulation-fragmentation equation including volume scattering and collisional breakage is considered. We prove that the equation admits steady states of arbitrary mass provided that the kernels satisfy some suitable growth conditions. On the other hand, we also show that zero is the only steady state in particular cases.",
keywords = "Coagulation-fragmentation equation, Stationary solution, Volume scattering",
author = "Philippe Lauren{\c c}ot and Christoph Walker",
note = "Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",
year = "2006",
doi = "10.1007/s00028-006-0279-2",
language = "English",
volume = "37",
pages = "531--548",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "2",

}

Download

TY - JOUR

T1 - Steady states for a coagulation-fragmentation equation with volume scattering

AU - Laurençot, Philippe

AU - Walker, Christoph

N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2006

Y1 - 2006

N2 - A coagulation-fragmentation equation including volume scattering and collisional breakage is considered. We prove that the equation admits steady states of arbitrary mass provided that the kernels satisfy some suitable growth conditions. On the other hand, we also show that zero is the only steady state in particular cases.

AB - A coagulation-fragmentation equation including volume scattering and collisional breakage is considered. We prove that the equation admits steady states of arbitrary mass provided that the kernels satisfy some suitable growth conditions. On the other hand, we also show that zero is the only steady state in particular cases.

KW - Coagulation-fragmentation equation

KW - Stationary solution

KW - Volume scattering

UR - http://www.scopus.com/inward/record.url?scp=33644939026&partnerID=8YFLogxK

U2 - 10.1007/s00028-006-0279-2

DO - 10.1007/s00028-006-0279-2

M3 - Article

AN - SCOPUS:33644939026

VL - 37

SP - 531

EP - 548

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 2

ER -