Interior local null controllability of one‐dimensional compressible flow near a constant steady state | Zendy

Mitra Debanjana | Zendy; Ramaswamy Mythily | Zendy; Renardy Michael | Zendy

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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.

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