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

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.

References in corpus (1)

• Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane

Cited by in corpus (1)

• Carleman estimate for the Navier-Stokes equations and applications