We study the asymptotic behavior of classical solutions to an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Boussinesq system on bounded domains with large initial data. A sufficient condition is established under which the solutions decay exponentially to constant states as time approaches infinity.
Submitted April 11, 2010. Published April 6, 2011.
Math Subject Classifications: 35Q35, 35B40.
Key Words: Cahn-Hilliard-Boussinesq equations; classical solution; asymptotic behavior.
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| Kun Zhao |
Mathematical Biosciences Institute
Ohio State University
Columbus, OH 43210, USA
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