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Interior local null controllability of one‐dimensional compressible flow near a constant steady state
Author(s) -
Mitra Debanjana,
Ramaswamy Mythily,
Renardy Michael
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4238
Subject(s) - controllability , mathematics , constant (computer programming) , mathematical analysis , compressibility , steady state (chemistry) , boundary (topology) , flow (mathematics)
We consider the one‐dimensional compressible Navier–Stokes equations with periodic boundary conditions, with initial conditions in a small neighborhood of a state of uniform density and uniform nonzero velocity. We prove that, with a control given only by a body force localized in a subinterval, we can steer the system to uniform density and velocity. Copyright © 2016 John Wiley & Sons, Ltd.