Irina Eglite and Andrei A. Kolyshkin
GinzburgLandau Model for Curved TwoPhase Shallow Mixing Layers
381 - 385
2012
6
4
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/14646
https://publications.waset.org/vol/64
World Academy of Science, Engineering and Technology
Method of multiple scales is used in the paper in order
to derive an amplitude evolution equation for the most unstable mode
from twodimensional shallow water equations under the rigidlid
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 GinzburgLandau
equation. Explicit formulas for the computation of the coefficients of
the equation are obtained.
Open Science Index 64, 2012