Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle
| dc.creator | Nolen, James | |
| dc.creator | Xin, Jack | |
| dc.date | 2004-07-21 | |
| dc.date.accessioned | 2026-07-07T05:10:32Z | |
| dc.date.available | 2026-07-07T05:10:32Z | |
| dc.description | We prove the existence of reaction-diffusion traveling fronts in mean zero space-time periodic shear flows for nonnegative reactions including the classical KPP (Kolmogorov-Petrovsky-Piskunov) nonlinearity. For the KPP nonlinearity, the minimal front speed is characterized by a variational principle involving the principal eigenvalue of a space-time periodic parabolic operator. Analysis of the variational principle shows that adding a mean-zero space time periodic shear flow to an existing mean zero space-periodic shear flow leads to speed enhancement. Computation of KPP minimal speeds is performed based on the variational principle and a spectrally accurate discretization of the principal eigenvalue problem. It shows that the enhancement is monotone decreasing in temporal shear frequency, and that the total enhancement from pure reaction-diffusion obeys quadratic and linear laws at small and large shear amplitudes. | |
| dc.identifier | https://arxiv.org/abs/math/0407366 | |
| dc.identifier | http://arxiv.org/abs/math/0407366 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71959 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle | |
| dc.type | text |