The equations of a viscous incompressible chemically active fluid: Existence and uniqueness of strong solutions in an unbounded domain

The existence and uniqueness of strong solutions for the viscous incompressible chemically active fluid in an unbounded domain was established. The initial boundary value problem for the equations describing the motion of a viscous-chemically-active fluid was studied. The results were proved using an iterative procedure together with the results due for nonstationary Stokes problem and parabolic problems. Results showed that the arguments were true for bounded and unbounded domains.