Asymptotic estimates to a free boundary problem for the stationary Navier Stokes equations

• Asymptotische Abschätzungen für ein freies Randwertproblem für die stationären Navier-Stokes-Gleichungen

May, Ute; Bemelmans, Josef (Thesis advisor)

Aachen : Publikationsserver der RWTH Aachen University (2014)
Dissertation / PhD Thesis

Aachen, Techn. Hochsch., Diss., 2013

Abstract

We analyse the decay of the flow behind a moving body B in a domain filled with a Newtonian incompressible fluid, where the body is partly immersed in the fluid. The only force acting in this setting is the body moving forward with constant velocity v1. To neglect the influence of the bottom and walls of the domain, we assume that the container filled with fluid is infinitely deep and wide. The shape of the surface of the fluid and the position of the body are unknowns of the problem. Our aim is to find a solution to the free boundary value problem and to specify the asymptotic behaviour of the solution. The equations of motion in the fluid are given by the Navier-Stokes equations.