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THE ASYMPTOTIC STABILITY OF STRATIFIED SOLUTIONS FOR THE 3D BOUSSINESQ EQUATIONS WITH DAMPING MECHANISM
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DOI：10.3934/cpaa.2025089.png)
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Abstract
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We investigate asymptotic stability of certain stationary solution to the 3D Boussinesq equations with a velocity damping term in the domain ohm = R x T x (0,1). It is shown that as t -> infinity, the solution converges to the specific stationary solution with explicit algebraic rates in t as long as the initial data is close enough to it in some suitable Sobolev spaces of high order.
Keywords:
Boussinesq equations
stationary solution
asymptotic stability
algebraic rates
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0.9
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88
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