Back to Search
Start Over
DIFFUSION-DRIVEN BLOW-UP FOR A NONLOCAL FISHER-KPP TYPE MODEL.
- Source :
- SIAM Journal on Mathematical Analysis; 2023, Vol. 55 Issue 3, p2411-2433, 23p
- Publication Year :
- 2023
-
Abstract
- The purpose of the current paper is to unveil the key mechanism which is responsible for the occurrence of Turing-type instability for a nonlocal Fisher-KPP model. In particular, we prove that the solution of the considered nonlocal Fisher-KPP equation in the neighborhood of a constant stationary solution is destabilized via a diffusion-driven blow-up. It is also shown that the observed diffusion-driven blow-up is complete, while its blow-up rate is completely classified. Finally, the detected diffusion-driven instability results in the formation of unstable blow-up patterns, which are also identified through the determination of the blow-up profile of the solution. [ABSTRACT FROM AUTHOR]
- Subjects :
- NEIGHBORHOODS
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 55
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 164760656
- Full Text :
- https://doi.org/10.1137/21M145519X