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 the inverse source problem of determining a spatially varying divergence-free factor of a source term.
Carleman estimate for the Navier-Stokes equations and applications / Imanuvilov, O. Y.; Lorenzi, L.; Yamamoto, M.. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - 38:8(2022). [10.1088/1361-6420/ac4c33]
Carleman estimate for the Navier-Stokes equations and applications
Lorenzi, L.;Yamamoto, M.
2022-01-01
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 the inverse source problem of determining a spatially varying divergence-free factor of a source term.File in questo prodotto:
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