2D and 3D convective Brinkman-Forchheimer equations perturbed by a subdifferential and applications to control problems
Sagar Gautam,
Kush Kinra,
Manil T. Mohan
Abstract:The following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) with potential), we establish the existence of a unique global strong solution for the above multi-valued problem with the help of the abstract theory of maccretive operators. Moreover, we demonstrate that the same results hold local in time for the case d = 3 with r ∈ [1, 3) and d = r = 3 with 2βµ < 1. We explored the m-accretivity of the nonlinear as well as multi-valued operators, Yosida approximations and thei… Show more
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