Geometric function theory: a modern view of a classical subject

DOI10.1088/0951-7715/21/10/T04zbMath1163.30012MaRDI QIDQ3531234

Darren G. Crowdy

Publication date: 21 October 2008

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacecomposite materialfluid dynamicsmultiply connected domainSchottky-Klein prime functiongeometric function theory

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Compact Riemann surfaces and uniformization (30F10) Conformal mappings of special domains (30C20) Random materials and composite materials (74A40) Harmonic functions on Riemann surfaces (30F15) Schwarz-Christoffel-type mappings (30C30) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (20)

Finite gap Jacobi matrices and the Schottky-Klein prime function ⋮ Fast evaluation of the fundamental singularities of two-dimensional doubly periodic Stokes flow ⋮ Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups ⋮ Analytical solutions for two hollow vortex configurations in an infinite channel ⋮ Uniform flow past a periodic array of cylinders ⋮ On rationally loxodromic holomorphic functions ⋮ Some holomorphic generalizations of loxodromic functions ⋮ The sixth Painlevé transcendent and uniformization of algebraic curves ⋮ Modulo-loxodromic meromorphic functions in $\mathbb C\setminus\{0\}$ ⋮ Multiple steady bubbles in a Hele-Shaw cell ⋮ The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell ⋮ A class of Julia exceptional functions ⋮ SERIES SOLUTION OF LAPLACE PROBLEMS ⋮ The Schottky-Klein prime function and counting functions for Fenchel double crosses ⋮ The effect of core size on the speed of compressible hollow vortex streets ⋮ Riemann-Hilbert problems for multiply connected domains and circular slit maps ⋮ Estimating the error in the Koebe construction ⋮ A note on electrified droplets ⋮ Computable Complex Analysis ⋮ Fast computation of the circular map

Uses Software

• Schwarz-Christoffel
• SC Toolbox

This page was built for publication: Geometric function theory: a modern view of a classical subject