Abstract
AbstractWe consider parallel shear flow of an upper convected Maxwell fluid. A control is available in the form of a body force. The system of equations governing the velocity and shear stress is equivalent to a damped linear wave equation, and well known results imply that it is controllable if the time interval is sufficiently long for waves to propagate back and forth across the uncontrolled region. On the other hand, the issue of controlling normal stresses is far more difficult. If the control is available in the entire flow region, then normal stresses can be controlled, subject to a necessary positive definiteness constraint. On the other hand, if the control is confined to a subinterval, then the normal stresses are not controllable.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
