TY - JOUR
T1 - Stability of Kuramoto-Sivashinsky fronts in moving fluid
AU - Vilela, P. M.
AU - Vasquez, Desiderio A.
N1 - Publisher Copyright:
© 2014, EDP Sciences and Springer.
PY - 2014/12/13
Y1 - 2014/12/13
N2 - We analyze the effects of an external Couette flow on reactions fronts described by the Kuramoto-Sivashinsky equation. The fronts propagate in a two-dimensional slab confined by two parallel plates moving in opposite directions. The fronts can propagate in the same direction or against the external flow. We obtain steady front solutions by solving numerically the nonlinear time-independent equations. A linear stability analysis determines the stability of the fronts. The fronts and their stability depend on the slab width and on the relative velocity between the plates. These parameters have the potential to modify unstable fronts into stable fronts. We compare our results with fronts developed under a Poiseuille flow.
AB - We analyze the effects of an external Couette flow on reactions fronts described by the Kuramoto-Sivashinsky equation. The fronts propagate in a two-dimensional slab confined by two parallel plates moving in opposite directions. The fronts can propagate in the same direction or against the external flow. We obtain steady front solutions by solving numerically the nonlinear time-independent equations. A linear stability analysis determines the stability of the fronts. The fronts and their stability depend on the slab width and on the relative velocity between the plates. These parameters have the potential to modify unstable fronts into stable fronts. We compare our results with fronts developed under a Poiseuille flow.
UR - http://www.scopus.com/inward/record.url?scp=84916620683&partnerID=8YFLogxK
U2 - 10.1140/epjst/e2014-02313-9
DO - 10.1140/epjst/e2014-02313-9
M3 - Article
AN - SCOPUS:84916620683
SN - 1951-6355
VL - 223
SP - 3001
EP - 3010
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
IS - 13
ER -