The front asymptotics for the non-local KPP equation
- 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.
|Type of resource
|electronic; electronic resource; remote
|1 online resource.
|Stanford University, Department of Mathematics.
|Statement of responsibility
|Submitted to the Department of Mathematics.
|Thesis (Ph.D.)--Stanford University, 2017.
- © 2017 by Jun Gao
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Also listed in
Loading usage metrics...