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Convection in Binary Liquids: Amplitude Equations for Stationary and Oscillatory Patterns

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Longwave Instabilities and Patterns in Fluids

Part of the book series: Advances in Mathematical Fluid Mechanics ((AMFM))

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Abstract

While the Rayleigh–Bénard convection in a pure liquid serves as a paradigmatic example of stationary patterns generated by monotonic instability, convection in a binary liquid provides a basic example of an oscillatory instability generating wave patterns.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, UB RAS, Perm, Russia

    Sergey Shklyaev

  2. Technion, Department of Mathematics, Haifa, Israel

    Alexander Nepomnyashchy

Authors
  1. Sergey Shklyaev
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  2. Alexander Nepomnyashchy
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Shklyaev, S., Nepomnyashchy, A. (2017). Convection in Binary Liquids: Amplitude Equations for Stationary and Oscillatory Patterns. In: Longwave Instabilities and Patterns in Fluids. Advances in Mathematical Fluid Mechanics. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-7590-7_4

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