Abstract
In this paper, we prove the existence and uniqueness of axisymmetric solution to the three-dimensional incompressible convective Brinkman-Forchheimer equations{∂tu+(u⋅∇)u−μΔu+ν1u+ν2|u|β−1u+∇p=0,∇⋅u=0,u|t=0=u0, with 1≤β≤73, by developing the local-in-space estimate for solutions.
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