title: Stellar oscillons.
abstract: 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.
authors.affiliation: Department of Astronomy, Columbia University, New York, New York 10027, USA.
authors.forename: O M
authors.initials: OM
authors.lastname: Umurhan
authors.forename: L
authors.initials: L
authors.lastname: Tao
authors.forename: E A
authors.initials: EA
authors.lastname: Spiegel