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

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

1997-07-29

arxiv.org/abs/patt-sol/9707006v1

Z.Phys.B 103 (1997) 3/4, 531-537

Nonlinear Sciences

Pattern Formation and Solitons

16 pages, including 5 postscript figures

Scientific paper

10.1007/s002570050407

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.

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