Showing math.CVShow all
2 papers · 1 filter
math.CV2025
Planar Coulomb gas on a Jordan arc at any temperature
Klara Courteaut, Kurt Johansson, Fredrik Viklund
We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc in the complex plane, at inverse temperature . Let \[\bar{Z}_{n}^β(γ) = Z_{n}^β(γ)/\left(2 \tex…
math.CV2024
Competitive Hele-Shaw flow and quadratic differentials
Fredrik Viklund, David Witt Nyström
We introduce and investigate a generalization of the Hele-Shaw flow with injection where several droplets compete for space as they try to expand due to internal pressure while sti…