English

Strongly nonlinear convection in binary fluids: Minimal model for extended states using symmetry decomposed modes

patt-sol 2009-10-30 v1 Pattern Formation and Solitons

Abstract

Spatially extended stationary and traveling states in the strongly nonlinear regime of convection in layers of binary fluid mixtures heated from below are described by a few-mode-model. It is derived from the proper hydrodynamic balance equations including experimentally relevant boundary conditions with a non-standard Galerkin approximation that uses numerically obtained, symmetry decomposed modes. Properties of the model are elucidated and compared with full numerical solutions of the field equations.

Keywords

Cite

@article{arxiv.patt-sol/9707006,
  title  = {Strongly nonlinear convection in binary fluids: Minimal model for extended states using symmetry decomposed modes},
  author = {St. Hollinger and M. Luecke},
  journal= {arXiv preprint arXiv:patt-sol/9707006},
  year   = {2009}
}

Comments

16 pages, including 5 postscript figures

R2 v1 2026-07-22T18:47:44.132Z