Pattern formations in heat convection problems (Q1047076)

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scientific article; zbMATH DE number 5652265
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English
Pattern formations in heat convection problems
scientific article; zbMATH DE number 5652265

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    Pattern formations in heat convection problems (English)
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    4 January 2010
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    The authors investigate the pattern formation phenomenon in several heat convection problems. Of concern are the Rayleigh-Bernard problem with Oberbeck-Boussinesq equations for the velocity, pressure and temperature, or Bernard-Marangoni. Various bifurcation pictures are derived by means of standard bifurcation theory, weakly nonlinear theory and computational approach.
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    pattern formation
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    Oberbeck-Boussinesq equation
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    heat convection
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    computer assisted proof
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    Rayleigh-Bernard problem
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    Bernard-Marangoni
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    bifurcation
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