Nonlinear Stability in Fluid and Plasma Dynamics
Abstract
This report presents a block diagonalization theorem which is designed to study the stability and bifurcation of rotating systems, or more generally, of relative equilibria. The context of the discussion is the energy- momentum method of mechanical systems with symmetry. Crucial special cases of the block diagonalization theorem for uniformly rotating system, including general nonlinear elasticity and geometrically exact rods. The purpose here is to abstract these examples and prove a general geometric theorem. These general results will be important for rotating gravitational fluid masses as well.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 28, 1989
- Accession Number
- ADA207715
Entities
People
- Jerrold E. Marsden
Organizations
- University of California, Berkeley