WASET
	%0 Journal Article
	%A Imad Chaddad and  Andrei A. Kolyshkin
	%D 2008
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 14, 2008
	%T Ginzburg-Landau Model : an Amplitude Evolution Equation for Shallow Wake Flows
	%U https://publications.waset.org/pdf/5257
	%V 14
	%X Linear and weakly nonlinear analysis of shallow wake
flows is presented in the present paper. The evolution of the most
unstable linear mode is described by the complex Ginzburg-Landau
equation (CGLE). The coefficients of the CGLE are calculated
numerically from the solution of the corresponding linear stability
problem for a one-parametric family of shallow wake flows. It is
shown that the coefficients of the CGLE are not so sensitive to the
variation of the base flow profile.
	%P 60 - 64