par Martinez-Mardones, Javier;Zeller, W;Tiemann, R.;Walgraef, Daniel 
Référence Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54, 2, page (1478-1488)
Publication Publié, 1996
Référence Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54, 2, page (1478-1488)
Publication Publié, 1996
Article révisé par les pairs
| Résumé : | Pattern selection and stability in viscoelastic convection are studied in the framework of amplitude equations derived in the vicinity of stationary and oscillatory instabilities. The oscillatory instability corresponds to a Hopf bifurcation with broken translational symmetry. When this instability is the first to appear with increasing Rayleigh number, such systems may be described by coupled one-dimensional complex Ginzburg-Landau equations for counterpropagating waves. The coefficients of these equations, as computed from the underlying Navier-Stokes equations, are such that the selected pattern corresponds to standing waves. The phase dynamics of these waves is derived and leads to coupled Kuramoto-Sivashinsky equations. Their stability range is also determined for different typical fluid parameters. |
