On the convergence at infinity, rate of convergence and uniqueness of solutions with finite Dirichlet integral to the exterior Dirichlet problem for the steady plane NavierStokes system of equations
Abstract
The NavierStokes equation, the continuity equation, and the boundary conditions describing a steady flow of a viscous incompressible fluid past on obstacle with uniform velocity are discussed. The solutions constructed for the exterior Dirichlet problem are analyzed. The convergence and the rate of convergence at infinity of a solution with finite Dirichlet integral of the velocity are detailed. The uniqueness in the Leray class of solutions with finite Dirichlet integral of the velocity is proved.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 October 1989
 Bibcode:
 1989STIN...9110257S
 Keywords:

 Boundary Conditions;
 Convergence;
 Dirichlet Problem;
 NavierStokes Equation;
 Theorem Proving;
 Asymptotic Methods;
 Equilibrium Flow;
 Incompressible Flow;
 Theorems;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer