Equivalence of two inverse boundary value problems for the Navier-Stokes equations
Mathematical Physics
2015-01-13 v1 Analysis of PDEs
math.MP
Abstract
In this note, we prove that for the Navier-Stokes equations, a pair of Dirichlet and Neumann data and pressure uniquely correspond to a pair of Dirichlet data and surface stress on the boundary. Hence the two inverse boundary value problems in [2] and [3] are the same.
Keywords
Cite
@article{arxiv.1501.02550,
title = {Equivalence of two inverse boundary value problems for the Navier-Stokes equations},
author = {Oleg Imanuvilov and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1501.02550},
year = {2015}
}
Comments
3 pages