Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem
Analysis of PDEs
2016-01-20 v1
Abstract
We consider the nonstationary linearized Navier-Stokes equations in a bounded domain and first we prove a Carleman estimate with a regular weight function. Second we apply the Carleman estimate to a lateral Cauchy problem for the Navier-Stokes equations and prove the H\"older stability in determining the velocity and pressure field in an interior domain.
Keywords
Cite
@article{arxiv.1506.02534,
title = {Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem},
author = {Mourad Bellassoued and Oleg Imanuvilov and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1506.02534},
year = {2016}
}