An inverse source problem for convective Brinkman-Forchheimer equations with the final overdetermination
Pardeep Kumar,
Manil T. Mohan
Abstract:In this paper, we examine an inverse problem for the following convective Brinkman-Forchheimer (CBF) equations or damped Navier-Stokes equations:on a torus T d , d = 2, 3. The inverse problem under consideration consists of determining the vector-valued velocity function v, the pressure gradient ∇p and the vector-valued forcing function f . Using the Tikhonov fixed point theorem, we prove the existence of a solution for the inverse problem for 2D and 3D CBF equations with the final overdetermination data for t… Show more
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