Type of Document	Dissertation
Author	Kang, Sungkwon
URN	etd-02012006-141702
Title	A control problem for Burgers' equation
Degree	PhD
Department	Mathematics
Advisory Committee	Advisor Name Title Burns, John A. Committee Chair Ball, Joseph A. Committee Member Hannsgen, Kenneth B. Committee Member Herdman, Terry L. Committee Member Wheeler, Robert L. Committee Member
Keywords	Burgers equation Research
Date of Defense	1990-04-05
Availability	restricted
Abstract Burgers' equation is a one-dimensional simple model for convection-diffusion phenomena such as shock waves, supersonic flow about airfoils, traffic flows, acoustic transmission, etc. For high Reynolds number, the open-loop system (no control) produces steep gradients due to the nonlinear nature of the convection. The steep gradients are stabilized by feedback control laws. In this phase, sufficient conditions for the control input functions and the location of sensors are obtained. Also, explicit exponential decay rates for open-loop and closed-loop systems are obtained. Numerical experiments are given to illustrate some of typical results on convergence and stability.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access  LD5655.V856_1990.K364.pdf 2.28 Mb 00:10:32 00:05:25 00:04:44 00:02:22 00:00:12 next to an author's name indicates that all files or directories associated with their ETD are accessible from the Virginia Tech campus network only.

If you have questions or technical problems, please Contact DLA.