Global Existence and Blowup Analysis to Single-Species Bacillus System with Free Boundary
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-31
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with a reaction-diffusion equation which describes the dynamics of single bacillus population with free boundary.
The local existence and uniqueness of the solution are first obtained by using the contraction mapping theorem.
Then we exhibit an energy condition, involving the initial data, under which the solution blows up in finite time.
Finally we examine the long time behavior of global solutions; the global fast solution and slow solution are given.
Our results show that blowup occurs if the death rate is small and the initial value is large enough.
If the initial value is small the solution is global and fast, which decays at an exponential rate while there is a global slow solution provided that the death rate is small and the initial value is suitably large.
American Psychological Association (APA)
Ling, Zhi& Lin, Zhigui. 2011. Global Existence and Blowup Analysis to Single-Species Bacillus System with Free Boundary. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-463730
Modern Language Association (MLA)
Ling, Zhi& Lin, Zhigui. Global Existence and Blowup Analysis to Single-Species Bacillus System with Free Boundary. Abstract and Applied Analysis No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-463730
American Medical Association (AMA)
Ling, Zhi& Lin, Zhigui. Global Existence and Blowup Analysis to Single-Species Bacillus System with Free Boundary. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-463730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463730