Abstract:In this article, we study an inverse problem for the following convective Brinkman-Forchheimer (CBF) equations:, 3) with smooth boundary, where α, β, µ > 0 and r ∈ [1, ∞). The CBF equations describe the motion of incompressible fluid flows in a saturated porous medium. The inverse problem under our consideration consists of reconstructing the vector-valued velocity function u, the pressure field p and the vector-valued function f . We have proved the well-posedness result (existence, uniqueness and stablility)… Show more
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