Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption
Joint Authors
Wang, Yulan
Xiang, Zhaoyin
Hu, Jinsong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-10
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We investigate a nonlocal reaction diffusion equation with absorption under Neumann boundary.
We obtain optimal conditions on the exponents of the reaction and absorption terms for the existence of solutions blowing up in finite time, or for the global existence and boundedness of all solutions.
For the blowup solutions, we also study the blowup rate estimates and the localization of blowup set.
Moreover, we show some numerical experiments which illustrate our results.
American Psychological Association (APA)
Wang, Yulan& Xiang, Zhaoyin& Hu, Jinsong. 2012. Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993457
Modern Language Association (MLA)
Wang, Yulan…[et al.]. Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993457
American Medical Association (AMA)
Wang, Yulan& Xiang, Zhaoyin& Hu, Jinsong. Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993457
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993457