Inverse source problem for the lineraized Navier - Stokes equations with interior data in arbitrary sub - domain
نویسندگان
چکیده
We consider an inverse problem of determining a spatially varying factor in a source term in a nonstationary linearized Navier-Stokes equations by observation data in an arbitrarily fixed sub-domain over some time interval. We prove the Lipschitz stability provided that the t-dependent factor satisfies a non-degeneracy condition. Our proof based on a new Carleman estimate for the Navier-Stokes equations. §
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