The incompressible Micropolar system is given by two coupled equations: the first equation
gives the evolution of the velocity field u while the second equation gives the evolution of the …

We consider a viscous fluid in a finite-depth domain of two dimensions, with a free moving
boundary and a fixed solid boundary. The fluid dynamics are governed by gravity-driven …

In this paper, we consider 3D compressible magneto-micropolar fluids without resistivity and
spin viscosity in a strip domain. The prominent character of the governing model is the …

In this paper, we consider a layer of viscous incompressible isotropic micropolar fluid in a
uniform gravitational field of finite depth, lying above a flat rigid bottom and below the …

In this thesis we report work completed in the study of nonlinear partial differential equations,
and in particular those arising from the physical world and fluid dynamics. We study two two …