Asymptotic properties of axisymmetric D-solutions of the Navier-Stokes equations
The authors investigate asymptotic properties of Leray's weak solution of Navier-Stokes equations with bounded Dirichlet integral in a three-dimensional exterior domain, subject to prescribed constant velocity field at infinity and zero velocity on the boundary of the domain. This solution models a three-dimensional unbounded axisymmetric flow of viscous incompressible fluid past an axisymmetric body. The authors obtain an explicit decay rate of the solution when the velocity at infinity is zero.
scientific article; zbMATH DE number 5674223