# Optimal control of linearized compressible Navier–Stokes equations

Shirshendu Chowdhury; Mythily Ramaswamy

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 2, page 587-615
- ISSN: 1292-8119

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topChowdhury, Shirshendu, and Ramaswamy, Mythily. "Optimal control of linearized compressible Navier–Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 19.2 (2013): 587-615. <http://eudml.org/doc/272922>.

@article{Chowdhury2013,

abstract = {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 solution over the control set. Finally we derive an optimality system from which the optimal solution can be determined.},

author = {Chowdhury, Shirshendu, Ramaswamy, Mythily},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {optimal control; linearized compressible Navier–Stokes equations; boundary control; optimality system; linearized compressible Navier-Stokes equations},

language = {eng},

number = {2},

pages = {587-615},

publisher = {EDP-Sciences},

title = {Optimal control of linearized compressible Navier–Stokes equations},

url = {http://eudml.org/doc/272922},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Chowdhury, Shirshendu

AU - Ramaswamy, Mythily

TI - Optimal control of linearized compressible Navier–Stokes equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 2

SP - 587

EP - 615

AB - 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 solution over the control set. Finally we derive an optimality system from which the optimal solution can be determined.

LA - eng

KW - optimal control; linearized compressible Navier–Stokes equations; boundary control; optimality system; linearized compressible Navier-Stokes equations

UR - http://eudml.org/doc/272922

ER -

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