Lauri Hitruhin

collaborators

3 papers

math.CV2023

Quasiconformal curves and quasiconformal maps in metric spaces

Lauri Hitruhin, Athanasios Tsantaris

In this paper we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings $Ω \to R^{m}$ from some domain $Ω \subset R^{n}$ t…

math.AP2023

Relaxation of the kinematic dynamo equations

Lauri Hitruhin, Sauli Lindberg

We compute the exact relaxation and $Λ$ -convex hull of the kinematic dynamo equations and show that they coincide. We also find the relaxation in the stationary case.

math.CV2022

Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk

Olli Hirviniemi, Lauri Hitruhin

We consider quasiconformal mappings of the unit disk that have a planar extension which have $p$ -integrable distortion. In this paper, we establish a bound for the modulus of conti…