Slightly compressible Forchheimer flows in rotating porous media

We formulate the generalized Forchheimer equations for three-dimensional fluid flows in rotating porous media. By implicitly solving momentum terms of pressure’s gradient, we derive a degenerate parabolic equation density case slightly compressible fluids and study its corresponding initial boundary value problem. investigate nonlinear structure equation. The maximum principle is proved used to obtain estimates solution. Various are established solution’s Lebesgue norms any order, data. All contain explicit dependence on key physical parameters, including angular speed.