Robustness of regularity for the 3D convective Brinkman–Forchheimer equations

We prove a robustness of regularity result for the 3D convective Brinkman–Forchheimer equations ∂ t u − μ Δ + ( ⋅ ∇ ) p α β | r 1 = f , range absorption exponent ∈ [ 3 ] (for > there exist global-in-time regular solutions), i.e. we show that strong solutions these remain under small enough changes initial condition and forcing function. provide smallness which is similar to conditions given incompressible Navier–Stokes by Chernyshenko et al. [5] Dashti & Robinson [8] .