Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations
Analysis of PDEs
2021-07-12 v1
Abstract
For linearized Navier-Stokes equations, we consider an inverse source problem of determining a spatially varying divergence-free factor. We prove the global Lipschitz stability by interior data over a time interval and velocity field at over the spatial domain. The key are Carleman estimates for the Navier-Stokes equations and the operator rot.
Cite
@article{arxiv.2107.04514,
title = {Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations},
author = {O. Y. Imanuvilov and M. Yamamoto},
journal= {arXiv preprint arXiv:2107.04514},
year = {2021}
}