Large time asymptotics for a modified coagulation model

J. Calvo; P. E. Jabin

doi:10.1016/j.jde.2011.01.021

Large time asymptotics for a modified coagulation model

J. Calvo
, P. E. Jabin

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We study the large time asymptotics of a simplified two species model for particles (typically molecules or cells). The particles can be in two states: A "free" state where they simply move with a given velocity or an aggregated state where they do not move anymore. We show that depending only on the strength of the interaction between particles, either all of them eventually coagulate or some may escape.

Original language	English (US)
Pages (from-to)	2807-2837
Number of pages	31
Journal	Journal of Differential Equations
Volume	250
Issue number	6
DOIs	https://doi.org/10.1016/j.jde.2011.01.021
State	Published - Mar 15 2011

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2011.01.021

Cite this

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title = "Large time asymptotics for a modified coagulation model",

abstract = "We study the large time asymptotics of a simplified two species model for particles (typically molecules or cells). The particles can be in two states: A {"}free{"} state where they simply move with a given velocity or an aggregated state where they do not move anymore. We show that depending only on the strength of the interaction between particles, either all of them eventually coagulate or some may escape.",

author = "J. Calvo and Jabin, \{P. E.\}",

note = "Funding Information: J.C. has been partially supported by Ministerio de Ciencia e Innovaci{\'o}n (Spain) and FEDER, Project MTM2008-05271 and Junta de Andaluc{\'i}a Project P08-FQM-4267. The authors want to thank Juan Soler for pointing out useful references and comments, they also want to thank the anonymous referee for his most valuable comments that helped to improve this work. J.C. wants to thank Simone Calogero for many useful comments, and Lab. Dieudonn{\'e} too, where part of this work was done.",

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doi = "10.1016/j.jde.2011.01.021",

language = "English (US)",

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T1 - Large time asymptotics for a modified coagulation model

AU - Calvo, J.

AU - Jabin, P. E.

N1 - Funding Information: J.C. has been partially supported by Ministerio de Ciencia e Innovación (Spain) and FEDER, Project MTM2008-05271 and Junta de Andalucía Project P08-FQM-4267. The authors want to thank Juan Soler for pointing out useful references and comments, they also want to thank the anonymous referee for his most valuable comments that helped to improve this work. J.C. wants to thank Simone Calogero for many useful comments, and Lab. Dieudonné too, where part of this work was done.

PY - 2011/3/15

Y1 - 2011/3/15

N2 - We study the large time asymptotics of a simplified two species model for particles (typically molecules or cells). The particles can be in two states: A "free" state where they simply move with a given velocity or an aggregated state where they do not move anymore. We show that depending only on the strength of the interaction between particles, either all of them eventually coagulate or some may escape.

AB - We study the large time asymptotics of a simplified two species model for particles (typically molecules or cells). The particles can be in two states: A "free" state where they simply move with a given velocity or an aggregated state where they do not move anymore. We show that depending only on the strength of the interaction between particles, either all of them eventually coagulate or some may escape.

UR - https://www.scopus.com/pages/publications/79551643701

UR - https://www.scopus.com/pages/publications/79551643701#tab=citedBy

U2 - 10.1016/j.jde.2011.01.021

DO - 10.1016/j.jde.2011.01.021

M3 - Article

AN - SCOPUS:79551643701

SN - 0022-0396

VL - 250

SP - 2807

EP - 2837

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 6

ER -

Large time asymptotics for a modified coagulation model

Abstract

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