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Izvestiya: Mathematics, 2014, Volume 78, Issue 6, Pages 1105–1119
DOI: https://doi.org/10.1070/IM2014v078n06ABEH002722 (Mi im8066) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The asymptotic limit of an integro-differential equation modelling complex systems

C. Biancaa, M. Ferrarab, L. Guerrinic

a Paris Sorbonne University
b Universitá Mediterranea di Reggio Calabria
c Department of Mathematics, University of Bologna
English version PDF (293 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM2014v078n06ABEH002722
Abstract: This paper is devoted to the asymptotic analysis of a mathematical framework that has recently been proposed for modelling complex systems in the applied sciences under the action of an external force field. This framework consists in an integro-differential kinetic equation coupled with a Gaussian isokinetic thermostat. The asymptotic limit obtained here using low-field scaling shows the emergence of diffusive behaviour on a macroscopic scale.
Keywords: integro-differential equation, low-field limit, velocity-jump process, active particles, kinetic theory.
Funding agency Grant number
Agence Nationale de la Recherche ANR T-KiNeT
Received: 18.09.2012
Revised: 28.12.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 6, Pages 49–64
DOI: https://doi.org/10.4213/im8066
Bibliographic databases:
Document Type: Article
UDC: 517.968.74
MSC: 35Q20, 35L02, 35Q82, 35Q91, 35Q92
Language: English
Original paper language: Russian
Citation: C. Bianca, M. Ferrara, L. Guerrini, “The asymptotic limit of an integro-differential equation modelling complex systems”, Izv. RAN. Ser. Mat., 78:6 (2014), 49–64; Izv. Math., 78:6 (2014), 1105–1119
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2014v078n06ABEH002722
  • https://www.mathnet.ru/eng/im/v78/i6/p49
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:423
    Russian version PDF:144
    English version PDF:4
    References:73
    First page:44
     
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