Unstable Phenomena in Mechanical Systems
Abstract
This report has focused on the development of mathematical techniques to understand unstable physical processes with particular emphasis on dynamic behavior in fluids, plasmas, and multi-particle systems. The particular focus has been on the development of singular perturbation techniques to study amplitude equations arising in hydrodynamic stability theory, in particular the Ginzburg-Landau equation of fluid dynamics and the Zakharov equation of plasma physics. Two successful approaches have been developed to these problems. The first is directed at studying branching and bifurcation processes near nonlinear plane waves and the second approach focused on the singular (NLS) limit of the Zakharov system governing plasma turbulence. Keywords: Perturbation theory; Hydrodynamic configurations; Mathematics.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1990
- Accession Number
- ADA223640
Entities
People
- Paul K. Newton
Organizations
- University of Illinois Urbana–Champaign