Interior local null controllability of one‐dimensional compressible flow near a constant steady state. (9th November 2016)

• Record Type: Journal Article
• Authors: Mitra, Debanjana; Ramaswamy, Mythily; Renardy, Michael
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 10(2017)
• Page Start: 3445
• Page End: 3478
• Publication Date: 2016-11-09
• Subjects: controllability -- parabolic‐hyperbolic system -- compressible flow -- Carleman estimate; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4238
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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.