Global Analysis of a Discrete Nonlocal and Nonautonomous Fragmentation Dynamics Occurring in a Moving Process
Joint Authors
Oukouomi Noutchie, Suares Clovis
Doungmo Goufo, Emile Franc
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We use a double approximation technique to show existence result for a nonlocal and nonautonomous fragmentation dynamics occurring in a moving process.
We consider the case where sizes of clusters are discrete and fragmentation rate is time, position, and size dependent.
Our system involving transport and nonautonomous fragmentation processes, where in addition, new particles are spatially randomly distributed according to some probabilistic law, is investigated by means of forward propagators associated with evolution semigroup theory and perturbation theory.
The full generator is considered as a perturbation of the pure nonautonomous fragmentation operator.
We can therefore make use of the truncation technique (McLaughlin et al., 1997), the resolvent approximation (Yosida, 1980), Duhamel formula (John, 1982), and Dyson-Phillips series (Phillips, 1953) to establish the existence of a solution for a discrete nonlocal and nonautonomous fragmentation process in a moving medium, hereby, bringing a contribution that may lead to the proof of uniqueness of strong solutions to this type of transport and nonautonomous fragmentation problem which remains unsolved.
American Psychological Association (APA)
Doungmo Goufo, Emile Franc& Oukouomi Noutchie, Suares Clovis. 2013. Global Analysis of a Discrete Nonlocal and Nonautonomous Fragmentation Dynamics Occurring in a Moving Process. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-475292
Modern Language Association (MLA)
Doungmo Goufo, Emile Franc& Oukouomi Noutchie, Suares Clovis. Global Analysis of a Discrete Nonlocal and Nonautonomous Fragmentation Dynamics Occurring in a Moving Process. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-475292
American Medical Association (AMA)
Doungmo Goufo, Emile Franc& Oukouomi Noutchie, Suares Clovis. Global Analysis of a Discrete Nonlocal and Nonautonomous Fragmentation Dynamics Occurring in a Moving Process. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-475292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475292