TY - JFULL
AU - Irina Eglite and Andrei A. Kolyshkin
PY - 2012/5/
TI - Ginzburg-Landau Model for Curved Two-Phase Shallow Mixing Layers
T2 - International Journal of Mathematical and Computational Sciences
SP - 380
EP - 385
VL - 6
SN - 1307-6892
UR - https://publications.waset.org/pdf/14646
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 64, 2012
N2 - Method of multiple scales is used in the paper in order
to derive an amplitude evolution equation for the most unstable mode
from two-dimensional shallow water equations under the rigid-lid
assumption. It is assumed that shallow mixing layer is slightly curved
in the longitudinal direction and contains small particles. Dynamic
interaction between carrier fluid and particles is neglected. It is
shown that the evolution equation is the complex Ginzburg-Landau
equation. Explicit formulas for the computation of the coefficients of
the equation are obtained.
ER -