Carleman estimate of solutions to equations adjoint to Navier–Stokes compressible-medium equations

E V Amosova
2019 Journal of Physics, Conference Series  
Analyzing the controllability problem for the Navier-Stokes equations of a compressible medium requires Carleman estimates of a corresponding adjoint system. The paper presents a Carleman estimate of solutions to two 2D equations, which are adjoint to continuity and momentum equations in compressible-solid mechanics at the start time. The paper proposes a method for generating Carleman estimates for a hyperbolic-parabolic system with Dirichlet and Neumann conditions featuring the same weight
more » ... the same weight function.
doi:10.1088/1742-6596/1268/1/012006 fatcat:qt4acnlnsvhk5ghlohf7lg7igq