Accession Number:

ADA229469

Title:

Nonlinear Stability in Fluids and Plasma Dynamics-Conformal Quasi- Conformal Geometry: Iteration, Distoration, Dynamics and Circle Packing

Descriptive Note:

Final rept. 15 Aug 1987-29 Sep 1990,

Corporate Author:

CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF MATHEMATICS

Report Date:

1990-10-01

Pagination or Media Count:

11.0

Abstract:

Contents A note on topology and magnetic energy in incompressible perfectly conducting fluids Links of tori and the energy of incompressible flows Factoring the Iogarithmic spiral A remark on inherent differentiability A power law for the distortion of planar sets Strange actions of groups on spheres Solving Beltrami equations by circle packing An estimate for hexagonal circle packings The convergence of circle packings to the Riemann mapping Schwarzs lemma for circle packings An extremal region for harmonic measure Schwarzs lemma for circle packings, II On Thurstons proof of Andreevs theorem An inverse problem for circle packing approximations to the Riemann mapping function Circle packing and conformal mapping Circle packing and Riemann surfaces On a problem of A. Beardon and K. Stephenson Canonical conformal mapping for a multiply connected domain by Thurstonss circle packing method. JHD

Subject Categories:

  • Numerical Mathematics
  • Electricity and Magnetism
  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE