Blow-Up Solution of Modified-Logistic-Diffusion Equation
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Modified-Logistic-Diffusion Equation ut=Duxx+u|1-u| with Neumann boundary condition has a global solution, if the given initial condition ψ satisfies ψ(x)≤1, for all x∈[0,1].
Other initial conditions can lead to another type of solutions; i.e., an initial condition that satifies ∫01ψ(x)dx>1 will cause the solution to blow up in a finite time.
Another initial condition will result in another kind of solution, which depends on the diffusion coefficient D.
In this paper, we obtained the lower bound of D, so that the solution of Modified-Logistic-Diffusion Equation with a given initial condition will have a global solution.
American Psychological Association (APA)
Sitompul, P.& Soeharyadi, Y.. 2019. Blow-Up Solution of Modified-Logistic-Diffusion Equation. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1159208
Modern Language Association (MLA)
Sitompul, P.& Soeharyadi, Y.. Blow-Up Solution of Modified-Logistic-Diffusion Equation. International Journal of Differential Equations No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1159208
American Medical Association (AMA)
Sitompul, P.& Soeharyadi, Y.. Blow-Up Solution of Modified-Logistic-Diffusion Equation. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1159208
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159208