Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Asymptotics for optimal controls for horizontal mean curvature flow.

Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 and Grande, Raffaele 2020. Asymptotics for optimal controls for horizontal mean curvature flow. [Online]. arXiv. Available at: https://arxiv.org/abs/2005.10599

[thumbnail of Control_Horizontal_Final.pdf]
Preview
PDF - Submitted Pre-Print Version
Download (1MB) | Preview

Abstract

The solutions to surface evolution problems like mean curvature flow can be expressed as value functions of suitable stochastic control problems, obtained as limit of a family of regularised control problems. The control- theoretical approach is particularly suited for such problems for degen- erate geometries like the Heisenberg group. In this situation a new type of singularities absent for the Euclidean mean curvature flow occurs, the so-called characteristic points. This paper investigates the asymptotic behaviour of the regularised optimal controls in the vicinity of such char- acteristic points.

Item Type: Website Content
Date Type: Completion
Status: Submitted
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: arXiv
Last Modified: 26 Nov 2022 13:38
URI: https://orca.cardiff.ac.uk/id/eprint/131898

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics