Amplitude equations for a system with thermohaline convection

Details Amplitude equations for a system with thermohaline convection Amplitude equations for a system with thermohaline convection

2007-06-04

arxiv.org/abs/0706.0363v1

Journal of Applied Mechanics and Technical Physics, V. 41, No. 3, 2000, P. 429-438

Physics

Fluid Dynamics

21 pages, 8 figures

Scientific paper

The multiple scale expansion method is used to derive amplitude equations for a system with thermohaline convection in the neighborhood of Hopf and Taylor bifurcation points and at the double zero point of the dispersion relation. A complex Ginzburg-Landau equation, a Newell-Whitehead-type equation, and an equation of the $\phi^4$ type, respectively, were obtained. Analytic expressions for the coefficients of these equations and their various asymptotic forms are presented. In the case of Hopf bifurcation for low and high frequencies, the amplitude equation reduces to a perturbed nonlinear Schr\"odinger equation. In the high-frequency limit, structures of the type of "dark" solitons are characteristic of the examined physical system.

Affiliated with

Also associated with

No associations

Rating

Amplitude equations for a system with thermohaline convection does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Amplitude equations for a system with thermohaline convection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amplitude equations for a system with thermohaline convection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-726617