TY - JOUR
T1 - Ginzburg-Landau equation coupled to a concentration field in binary-mixture convection
AU - Riecke, Hermann
N1 - Funding Information:
It is a pleasure to thank S. Linz, W. Zimmermann and L. Kramer for interesting discussions. This work has been supported by a grant from the NSF/AFOSR under award number DMS-9020289.
PY - 1992/12/30
Y1 - 1992/12/30
N2 - Localized travelling-wave trains are investigated as they arise in binary-mixture convection. For free-slip-permeable boundary conditions a complex Ginzburg-Landau equation is derived which is coupled to a mean concentration field. This takes the slow mass diffusion into account. Numerical simulations show that in equations of that form the additional concentration field can lead to a substantial reduction of the drift velocity of localized wave trains. Moreover, localized waves can be stable even if all the coefficients of the Ginzburg-Landau equation are real and even if the bifurcation to extended waves is supercritical.
AB - Localized travelling-wave trains are investigated as they arise in binary-mixture convection. For free-slip-permeable boundary conditions a complex Ginzburg-Landau equation is derived which is coupled to a mean concentration field. This takes the slow mass diffusion into account. Numerical simulations show that in equations of that form the additional concentration field can lead to a substantial reduction of the drift velocity of localized wave trains. Moreover, localized waves can be stable even if all the coefficients of the Ginzburg-Landau equation are real and even if the bifurcation to extended waves is supercritical.
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U2 - 10.1016/0167-2789(92)90169-N
DO - 10.1016/0167-2789(92)90169-N
M3 - Article
AN - SCOPUS:0000572252
SN - 0167-2789
VL - 61
SP - 253
EP - 259
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-4
ER -