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

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; Schwarz's lemma for circle packings; An extremal region for harmonic measure; Schwarz's lemma for circle packings, II; On Thurston's proof of Andreev's 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 Thurstons's circle packing method. (JHD)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1990
Accession Number
ADA229469

Entities

People

  • Burt Rodin
  • Henry Arbarbanel
  • Herbert Levine
  • Michael Freedman

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Cartography
  • Complex Variables
  • Computational Science
  • Computer Programs
  • Conformal Mapping
  • Conformal Structures
  • Differential Geometry
  • Dynamics
  • Equations
  • Fluid Mechanics
  • Geometry
  • Inverse Problems
  • Mechanics
  • Potential Theory
  • Theorems
  • Topology

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.