On nonstationary Stokes flow past an obstacle
Abstract
A class of nonstationary solutions of the Stokes equation is evaluated for the case when the behavior at infinity is similar to the stationary solutions with finite Dirichlet integral. A natural solution class is presented for the initial boundary value problem of an exterior domain, the existence and uniqueness questions are treated, and finally the convergence of nonstationary solutions to stationary ones as time tends to infinity is proven.
 Publication:

Indiana University Mathematics Journal
 Pub Date:
 September 1974
 Bibcode:
 1974IUMJ...24..271H
 Keywords:

 Boundary Value Problems;
 Existence Theorems;
 Flow Distortion;
 Stokes Flow;
 Uniqueness Theorem;
 Unsteady Flow;
 Convergence;
 Dirichlet Problem;
 Entire Functions;
 Flow Theory;
 Hilbert Space;
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer