Optimal control of linearized compressible Navier–Stokes equations
Shirshendu Chowdhury, Mythily Ramaswamy (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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We study an optimal boundary control problem for the two dimensional unsteady linearized compressible Navier–Stokes equations in a rectangle. The control acts through the Dirichlet boundary condition. We first establish the existence and uniqueness of the solution for the two-dimensional unsteady linearized compressible Navier–Stokes equations in a rectangle with inhomogeneous Dirichlet boundary data, not necessarily smooth. Then, we prove the existence and uniqueness of the optimal...