Carleman estimate for the Navier-Stokes equations and applications
Analysis of PDEs
2022-07-06 v1
Abstract
For linearized Navier-Stokes equations, we first derive a Carleman estimate with a regular weight function. Then we apply it to establish conditional stability for the lateral Cauchy problem and finally we prove conditional stability estimates for inverse source problem of determining a spatially varying divergence-free factor of a source term.
Cite
@article{arxiv.2107.04495,
title = {Carleman estimate for the Navier-Stokes equations and applications},
author = {Oleg Y. Imanuvilov and Luca Lorenzi and M. Yamamoto},
journal= {arXiv preprint arXiv:2107.04495},
year = {2022}
}