Global regularity for a coupled Cahn-Hilliard-Boussinesq system on bounded domains

Zhao, Kun

doi:10.1090/S0033-569X-2011-01241-5

Author: Kun Zhao
Journal: Quart. Appl. Math. 69 (2011), 331-356
MSC (2010): Primary 35Q35, 35B65, 35B40
DOI: https://doi.org/10.1090/S0033-569X-2011-01241-5
Published electronically: March 9, 2011
MathSciNet review: 2729892
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Abstract: We study an initial-boundary value problem (IBVP) for a coupling of the Cahn-Hilliard equation with the 2D inviscid heat-conductive Boussinesq equations. For large initial data with finite energy, we prove global existence and uniqueness of classical solutions to the IBVP, together with some uniform-in-time and decay estimates of the solution.

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