Abstract
The physically important conduction-diffusion problem for the Boussinesq equations is considered. It is shown that provided the solution satisfies a set of weak a priori bounds then the conduction-diffusion solution to the final value problem for the Boussinesq equations is stable on compact subintervals of a finite time interval. Uniqueness of a solution to the final value problem is also established.
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More From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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