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Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system

Zaihong Jiang1* and Jishan Fan2

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Author affiliations

1 Department of Mathematics, Zhejiang Normal University, Jinhua 321004, People's Republic of China

2 Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China

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Citation and License

Boundary Value Problems 2011, 2011:54 doi:10.1186/1687-2770-2011-54

Published: 22 December 2011

Abstract

This article studies the vanishing heat conductivity limit for the 2D Cahn-Hilliard-boussinesq system in a bounded domain with non-slip boundary condition. The result has been proved globally in time.

2010 MSC: 35Q30; 76D03; 76D05; 76D07.

Keywords:
Cahn-Hilliard-Boussinesq; inviscid limit; non-slip boundary condition