On the approximation of the exterior Stokes problem in three dimensions
Optimal control of stationary, low mach number, highly nonisothermal, viscous flows
Optimal control of stationary, low Mach number, highly nonisothermal, viscous flows
An optimal control problem for a model for stationary, low Mach number, highly nonisothermal, viscous flows is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. The existence of solutions of a boundary value problem for the model equations is established as is the existence of solutions of the optimal control problem. Then, a derivation of an optimality system, , a boundary value problem from which...
On a shape control problem for the stationary Navier-Stokes equations
On a shape control problem for the stationary Navier-Stokes equations
An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel is studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design functional.
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