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arXiv:2107.04495 [math.AP]AbstractReferencesReviewsResources

Carleman estimate for the Navier-Stokes equations and applications

Oleg Y. Imanuvilov, Luca Lorenzi, M. Yamamoto

Published 2021-07-09Version 1

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.

Categories: math.AP
Subjects: 35R30, 35R25, 35Q30
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