Evolution dynamics of conformal maps with quasiconformal extensions
Alexander Vasil'ev
Abstract
We study one-parameter curves on the universal Teichmüller space T and on the homogeneous space M= S1/ S1 embedded into T. As a result, we deduce evolution equations for conformal maps that admit quasiconformal extensions and, in particular, such that the associated quasidisks are bounded by smooth Jordan curves. Some applications to Hele-Shaw flows of viscous fluids are given.
Create a lesson
Related papers
Non-centered maximal operators over q balls for exponential and Laguerre-type measures
The Anh Bui, Fu Ken Ly
Weighted Fractional Commutator Estimate and Application to the Fractional Wave Equations with Time-dependent Damping
Jiayun Lin, Masahiro Ikeda
The Characteristic Initial Value Problem for the 3D Compressible Euler Equations
Jared Speck, Sifan Yu
A transition calculus for 0-pseudodifferential operators with applications to gas giant geometry
Andy Yin
Maps from the Dbar-data to the derivative NLS potentials
Junyi Zhu, Xueru Wang, Huan Liu
An L5/6 bound for the periodic Kuramoto-Sivashinsky equation
Benjamin Ingimarson, Igor Kukavica, Qi Xu