The Well-posedness and the Regularity of Global Attractor for a Couple Stress Fluid Through Porous Layer with the Local Thermal Non-equilibrium Effect

In the article, we aim to investigate well-posedness of solution and regularity global attractor for couple stress fluid in saturated porous media with local thermal non-equilibrium effect. To be more specific, firstly show existence uniqueness weak model by making use standard Galerkin method. Second, relying on verifying uniformly compact condition required, prove space where resides. Finally, improve obtain $C^{\infty}$ model.