We prove the existence of domain walls for the Benard–Rayleigh convection problem. Our approach relies upon a spatial dynamics formulation of the hydrodynamic problem, a center manifold reduction, and a normal forms analysis of an eight-dimensional reduced system. Domain walls are constructed as heteroclinic solutions connecting suitably chosen periodic solutions of this reduced system.

中文翻译：

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Bénard-Rayleigh 对流问题对称畴壁的分岔

我们证明了 Benard-Rayleigh 对流问题的畴壁的存在。我们的方法依赖于流体动力学问题的空间动力学公式、中心流形缩减和八维缩减系统的范式分析。Domain walls are constructed as heteroclinic solutions connecting suitably chosen periodic solutions of this reduced system.