Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-06-15
Astronomy and Astrophysics
Astrophysics
12 Latex pages using aasms4.sty, 2 postscript figures, submitted to the proceedings of the Florida Workshop in Nonlinear Astro
Scientific paper
10.1111/j.1749-6632.1998.tb11265
We study the weakly nonlinear evolution of acoustic instability of a plane- parallel polytrope with thermal dissipation in the form of Newton's law of cooling. The most unstable horizontal wavenumbers form a band around zero and this permits the development of a nonlinear pattern theory leading to a complex Ginzburg-Landau equation (CGLE). Numerical solutions for a subcritical, quintic CGLE produce vertically oscillating, localized structures that resemble the oscillons observed in recent experiments of vibrated granular material.
Spiegel Edward A.
Tao Liang
Umurhan Orkan Mehmet
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