Abstract
The synergetic theory of pattern formation allows the reduction of basic equations of motion to unified and simplified order parameter equations. For the particular case of a thermal instability of a fluid, these concepts are extremely fruitful and yield results that may be directly compared to experiments. In this article, we discuss pattern formation in several extended systems far from thermal equilibrium. We thereby distinguish between processes that are mainly ruled by a gradient dynamics of the order parameters and those that may show time dependence even in the long time limit. Special emphasis will be placed on oscillatory instabilities, pattern formation of fluids with low viscosity as well as the occurrence of convective structures in a rotating fluid layer. All these results show good agreement with recent experiments.KeywordsRayleigh NumberPattern FormationBiot NumberMarangoni NumberAmplitude EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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