The front asymptotics for the non-local KPP equation
Abstract/Contents
- Abstract
- Kolmogrov-Petrovskii-Piskunov (KPP) equations are a class of non-linear parabolic equations which are used to model various biological, ecological, and physical phenomena. In particular it is used as a model for population dynamics. Originally it was studied by Kolmogrov, Petrovskii and Piskunov in 1937. This thesis investigates one type of integro-differential equation: the non-local KPP equation, used in population dynamics. For the non-local KPP equation, we prove estimates regarding the front location and in particular introduce logarithmic correction. We also do a non-rigorous analysis to show the profile convergence of solution to the travelling wave.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Gao, Jun |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Ryzhik, Leonid |
| Thesis advisor | Ryzhik, Leonid |
| Thesis advisor | Papanicolaou, George |
| Thesis advisor | Ying, Lexing |
| Advisor | Papanicolaou, George |
| Advisor | Ying, Lexing |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Jun Gao. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2017. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Jun Gao
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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