Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane
Analysis of PDEs
2015-06-18 v1
Abstract
In this paper, we prove in two dimensions global identifiability of the viscosity in an incompressible fluid by making boundary measurements. The main contribution of this work is to use more natural boundary measurements, the Cauchy forces, than the Dirichlet-to-Neumann map previously considered in \cite{IY} to prove the uniqueness of the viscosity for the Stokes equations and for the Navier-Stokes equations.
Keywords
Cite
@article{arxiv.1402.2615,
title = {Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane},
author = {Ru-Yu Lai and Gunther Uhlmann and Jenn-Nan Wang},
journal= {arXiv preprint arXiv:1402.2615},
year = {2015}
}