Stable determination of a body immersed in a fluid: the nonlinear stationary case

Abstract

We consider the inverse problem of the detection of a single body, immersed in a bounded container filled with a fluid which obeys the stationary Navier–Stokes equations, from a single measurement of force and velocity on a portion of the boundary. We obtain an estimate of stability of log–log type.

Keywords:

• Cauchy problem
• inverse problems
• stationary Navier–Stokes system
• stability estimates

AMS Subject Classifications::

• Primary: 35R30
• Secondary: 35Q35, 76D07, 74F10