Carleman estimate for the Navier-Stokes equations and applications (2107.04495v1)

Published 9 Jul 2021 in math.AP

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.

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