Results for second order hyperbolic systems with viscous dumping
Abstract
Results have been obtained for certain second order hyperbolic systems with viscous dumping which imply that one can increase at will the margin of stability of arbitrarily finite modes of the damped wave equation (those presumed dominant) by means of certain type of the boundary feedback, while the remaining new modes approach asymptotically the original ones from the left of the vertical axis Rez = -k. Numerical testing of the constructive procedure is in the process of being implemented by a Ph.D. student.
- Publication:
-
Progress Report
- Pub Date:
- January 1985
- Bibcode:
- 1985fugv.reptQ....L
- Keywords:
-
- Hyperbolic Differential Equations;
- Viscous Damping;
- Boundaries;
- Eigenvalues;
- Eigenvectors;
- Feedback;
- Hyperbolas;
- Numerical Stability;
- Fluid Mechanics and Heat Transfer