Global Solvability of a Continuous Model for Nonlocal Fragmentation Dynamics in a Moving Medium
Joint Authors
Oukouomi Noutchie, Suares Clovis
Doungmo Goufo, Emile Franc
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Existence of global solutions to continuous nonlocal convection-fragmentation equations is investigated in spaces of distributions with finite higher moments.
Under the assumption that the velocity field is divergence-free, we make use of the method of characteristics and Friedrichs's lemma (Mizohata, 1973) to show that the transport operator generates a stochastic dynamical system.
This allows for the use of substochastic methods and Kato-Voigt perturbation theorem (Banasiak and Arlotti, 2006) to ensure that the combined transport-fragmentation operator is the infinitesimal generator of a strongly continuous semigroup.
In particular, we show that the solution represented by this semigroup is conservative.
American Psychological Association (APA)
Oukouomi Noutchie, Suares Clovis& Doungmo Goufo, Emile Franc. 2013. Global Solvability of a Continuous Model for Nonlocal Fragmentation Dynamics in a Moving Medium. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009033
Modern Language Association (MLA)
Oukouomi Noutchie, Suares Clovis& Doungmo Goufo, Emile Franc. Global Solvability of a Continuous Model for Nonlocal Fragmentation Dynamics in a Moving Medium. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1009033
American Medical Association (AMA)
Oukouomi Noutchie, Suares Clovis& Doungmo Goufo, Emile Franc. Global Solvability of a Continuous Model for Nonlocal Fragmentation Dynamics in a Moving Medium. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1009033
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009033