Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane
Resource
Arch. Rational Mech. Anal., (DOI) 10.1007/s00205-014-0794-1.
Journal
Archive for Rational Mechanics and Analysis
Pages
-
Date Issued
2014-02-11
Date
2014-02-11
Author(s)
Lai, Ru-Yu
Abstract
In this paper, we prove in two dimensions the 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 Imanuvilov and Yamamoto (Global uniqueness in inverse boundary value problems for Navier–Stokes equations and Lamé ststem in two dimensions. arXiv:1309.1694 arxiv.org/abs/1309.1694, 2013) to prove the uniqueness of the viscosity for the Stokes equations and for the Navier–Stokes equations.
Type
journal article
File(s)![Thumbnail Image]()
Loading...
Name
stokes2d0211.pdf
Size
300.79 KB
Format
Adobe PDF
Checksum
(MD5):319fd7d01c6bfdfce68a69f88546141a