On some paradoxes concerning twodimensional Stokes flow past an obstacle
Abstract
Some paradoxes obtained as a consequence of a single lemma concerning solutions of nonstationary and stationary Stokes equations occurring when n is equal to 2 are examined. The lemma states that when n is equal to 2 the function space that defines the solutions contains elements which are equal to nonzero constants near infinity. The paper considers generalized solutions of the twodimensional exterior stationary problem, an initial boundary value problem for a twodimensional exterior domain where the initial velocity converges to a nonzero limit at infinity, and an initial boundary value problem for a twodimensional exterior domain with nonzero prescribed forces.
 Publication:

Indiana University Mathematics Journal
 Pub Date:
 November 1974
 Bibcode:
 1974IUMJ...24..443H
 Keywords:

 Boundary Value Problems;
 Existence Theorems;
 Stokes Flow;
 Two Dimensional Flow;
 Uniqueness Theorem;
 Convergence;
 Flow Velocity;
 Paradoxes;
 Time Dependence;
 Fluid Mechanics and Heat Transfer