Name
Title | ||
|---|---|---|
PIECEWISE LINEAR MODEL OF PHYTOPLANKTON WAVE PROPAGATION IN PERIODICAL VORTEX FLOW\ast |
Abstract | ||
|---|---|---|
A piecewise linear model of phytoplankton growth in the presence of a convective flow has been proposed in the paper. The model, in one-dimensional formulation, admits a stable autowave solution, propagating with a certain critical minimum velocity. The main purpose of the work is to study the features of the phytoplankton front propagation in the presence of vortex flow. The vortex flow represents chain of two-dimensional vortices described by the Taylor--Green solution of incompressible Navier-Stokes equations. Different regimes of wave propagation are revealed depending on the intensity of the vortex flow and the model parameters. In particular, the wobbling, zigzag, and jumping regimes are found if the velocity of convective flow is less or comparable, exceeds, and is much greater than the front propagation speed in still media, respectively. The front propagation velocity is characterized by definite types of dependence on the flow intensity in different regimes. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1137/21M1405861 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
Key words, phytoplankton, vortex flow, autowave, Fisher KPP | Journal | 82 |
Issue | ISSN | Citations |
1 | 0036-1399 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Taisia Miroshnichenko | 1 | 0 | 0.34 |
| Vladimir Gubernov | 2 | 0 | 0.34 |
| Sergey Minaev | 3 | 0 | 0.34 |
| Vladimir Mislavskii | 4 | 0 | 0.34 |
| Junnosuke Okajima | 5 | 0 | 0.34 |