Nonlinear Stability in Fluid and Plasma Dynamics
Final technical rept.
CALIFORNIA UNIV BERKELEY
Pagination or Media Count:
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.
- Fluid Mechanics