Riemann-Hilbert problems for multiply connected domains and circular slit maps

DOI10.1007/BF03321876zbMath1267.30018OpenAlexW2048161200MaRDI QIDQ766032

Vladimir V. Mityushev

Publication date: 22 March 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321876

zbMATH Keywords

functional equationconformal mappingRiemann-Hilbert problemmultiply connected domain

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25)

Related Items

Effective properties of two-dimensional dispersed composites. I: Schwarz's alternating method ⋮ Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups ⋮ Schwarz-Christoffel formula for multiply connected domains ⋮ The Schottky–Klein Prime Function ⋮ Symbolic Computation of Conformal Mappings onto Slit Domains ⋮ Composites with invisible inclusions: Eigenvalues of ℝ-linear problem ⋮ Fast method for 2D Dirichlet problem for circular multiply connected domains ⋮ Mixed Problem for Laplace’s Equation in an Arbitrary Circular Multiply Connected Domain ⋮ Vortex generated fluid flows in multiply connected domains ⋮ Fractal local fields in random composites ⋮ Edge effects for heat flux in fibrous composites ⋮ Schwarz's alternating method in a matrix form and its applications to composites ⋮ An analytical formula for the effective conductivity of 2D domains with cracks of high density ⋮ A PAIR OF PERFECTLY CONDUCTING DISKS IN AN EXTERNAL FIELD ⋮ Bogdan Bojarski in complex and real worlds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains
• The Bergman kernel for circular multiply connected domains
• Numerical conformal mappings of unbounded multiply-connected domains using the charge simulation method
• The mixed harmonic problem in a bounded cracked domain with Dirichlet condition on cracks.
• On the Riemann-Hilbert problem with a piecewise constant matrix
• Conformal mappings between canonical multiply connected domains
• The Dirichlet–Neumann harmonic problem in a two–dimensional cracked domain with the Neumann condition on cracks
• Geometric function theory: a modern view of a classical subject
• Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
• Riemann problem on the double of a multiply connected circular region
• Convergence of the Poincaré series for some classical Schottky groups
• Radial and circular slit maps of unbounded multiply connected circle domains
• Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
• Singular Sets of Some Kleinian Groups
• Constructive solution of a certain class of Riemann-Hilbert problems on multiply connected circular regions
• Transport properties of doubly periodic arrays of circular cylinders and optimal design problems
• Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell