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arXiv · 1506.02534

Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem

Mourad Bellassoued·Oleg Imanuvilov·Masahiro Yamamoto
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Abstract

We consider the nonstationary linearized Navier-Stokes equations in a bounded domain and first we prove a Carleman estimate with a regular weight function. Second we apply the Carleman estimate to a lateral Cauchy problem for the Navier-Stokes equations and prove the Hölder stability in determining the velocity and pressure field in an interior domain.

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Mourad Bellassoued, Oleg Imanuvilov, Masahiro Yamamoto. 2015-06-08. Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem. https://doi.org/10.1088/0266-5611%2F32%2F2%2F025001

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