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arXiv · 2107.04514

Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations

O. Y. Imanuvilov·M. Yamamoto
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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 $t_0>0$ over the spatial domain. The key are Carleman estimates for the Navier-Stokes equations and the operator rot.

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O. Y. Imanuvilov, M. Yamamoto. 2021-07-09. Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations. https://arxiv.org/abs/2107.04514

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