Spinning propagation of diffusionally unstable planar fronts

Olga Nekhamkina; Moshe Sheintuch

doi:10.1103/PhysRevE.81.055204

Spinning propagation of diffusionally unstable planar fronts

Olga Nekhamkina^*, Moshe Sheintuch

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Stability of planar "frozen" fronts propagating through a cylindrical shell reactor in reaction-diffusion and reaction-diffusion-advection systems is studied numerically using the reactor perimeter (S) as a bifurcation parameter. For both systems rigid rotating patterns superimposed on axially propagating fronts were shown to emerge in S gaps between one-wave and two-wave solutions. The rotating motion is surprising since the linear analysis predicts formation of stationary patterns which are sustained in the plane, and emerges due to the periodic azimuthal boundary conditions.

Original language	English
Article number	055204
Journal	Physical Review E
Volume	81
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.81.055204
State	Published - 28 May 2010
Externally published	Yes

Access to Document

10.1103/PhysRevE.81.055204

Cite this

@article{0a183cec885349d78c6061cc69028874,

title = "Spinning propagation of diffusionally unstable planar fronts",

abstract = "Stability of planar {"}frozen{"} fronts propagating through a cylindrical shell reactor in reaction-diffusion and reaction-diffusion-advection systems is studied numerically using the reactor perimeter (S) as a bifurcation parameter. For both systems rigid rotating patterns superimposed on axially propagating fronts were shown to emerge in S gaps between one-wave and two-wave solutions. The rotating motion is surprising since the linear analysis predicts formation of stationary patterns which are sustained in the plane, and emerges due to the periodic azimuthal boundary conditions.",

author = "Olga Nekhamkina and Moshe Sheintuch",

year = "2010",

month = may,

day = "28",

doi = "10.1103/PhysRevE.81.055204",

language = "英语",

volume = "81",

journal = "Physical Review E",

issn = "1539-3755",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Spinning propagation of diffusionally unstable planar fronts

AU - Nekhamkina, Olga

AU - Sheintuch, Moshe

PY - 2010/5/28

Y1 - 2010/5/28

N2 - Stability of planar "frozen" fronts propagating through a cylindrical shell reactor in reaction-diffusion and reaction-diffusion-advection systems is studied numerically using the reactor perimeter (S) as a bifurcation parameter. For both systems rigid rotating patterns superimposed on axially propagating fronts were shown to emerge in S gaps between one-wave and two-wave solutions. The rotating motion is surprising since the linear analysis predicts formation of stationary patterns which are sustained in the plane, and emerges due to the periodic azimuthal boundary conditions.

AB - Stability of planar "frozen" fronts propagating through a cylindrical shell reactor in reaction-diffusion and reaction-diffusion-advection systems is studied numerically using the reactor perimeter (S) as a bifurcation parameter. For both systems rigid rotating patterns superimposed on axially propagating fronts were shown to emerge in S gaps between one-wave and two-wave solutions. The rotating motion is surprising since the linear analysis predicts formation of stationary patterns which are sustained in the plane, and emerges due to the periodic azimuthal boundary conditions.

UR - http://www.scopus.com/inward/record.url?scp=77953351273&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.81.055204

DO - 10.1103/PhysRevE.81.055204

M3 - 文章

AN - SCOPUS:77953351273

SN - 1539-3755

VL - 81

JO - Physical Review E

JF - Physical Review E

IS - 5

M1 - 055204

ER -

Spinning propagation of diffusionally unstable planar fronts

Abstract

Access to Document

Other files and links

Fingerprint

Cite this