Geodesic Loewner paths with varying boundary conditions

DOI10.1098/rspa.2020.0466zbMath1472.35467arXiv2006.10378OpenAlexW3092640301WikidataQ102325434 ScholiaQ102325434MaRDI QIDQ5161133

N. Robb McDonald

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10378

zbMATH Keywords

free boundary problemsLoewner equationapplied mathematicsLaplacian growth

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Free boundary problems for PDEs (35R35)

Uses Software

• Matlab
• SC Toolbox

Cites Work

• Unnamed Item
• Exact solutions for Loewner evolutions
• Collisions and spirals of Loewner traces
• The evolution of Loewner's differential equations
• The Loewner equation: maps and shapes
• Numerical computations for the Schramm-Loewner evolution
• The Loewner driving function of trajectory arcs of quadratic differentials
• Laplacian path models.
• SLE for theoretical physicists
• Bifurcation dynamics of natural drainage networks
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Symmetric rearrangement of groundwater-fed streams
• Algorithm 843

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