Cover Image

The free elastic flow for closed planar curves

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Miura, Tatsuya, Wheeler, Glen
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Differential Geometry 53E40, 53A04, 58J35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Migrating elastic flows II
by: Miura, Tatsuya
Published: (2024)

A new energy method for shortening and straightening complete curves
by: Miura, Tatsuya, et al.
Published: (2025)

Embeddedness and graphicality of the elastic flow for complete curves
by: Miura, Tatsuya, et al.
Published: (2025)

Asymptotic circularity of immortal area-preserving curvature flows
by: Miura, Tatsuya
Published: (2024)

Elastic curves and self-intersections
by: Miura, Tatsuya
Published: (2024)

Regularity and structure of non-planar $p$-elasticae
by: Gruen, Florian, et al.
Published: (2025)

Migrating elastic flows
by: Kemmochi, Tomoya, et al.
Published: (2023)

Scale-critical curve diffusion flows
by: Miura, Tatsuya, et al.
Published: (2026)

Optimal thresholds for preserving embeddedness of elastic flows
by: Miura, Tatsuya, et al.
Published: (2021)

Linear and nonlinear stability for the Bach flow, I
by: Bahuaud, Eric, et al.
Published: (2025)

A Geometric flow towards hamiltonian stationary submanifolds
by: Chen, Jingyi, et al.
Published: (2024)

Global eigenfamilies on closed manifolds
by: Riedler, Oskar, et al.
Published: (2024)

Uniqueness and minimality of Euler's elastica with monotone curvature
by: Miura, Tatsuya, et al.
Published: (2024)

General rigidity principles for stable and minimal elastic curves
by: Miura, Tatsuya, et al.
Published: (2023)

Pinned planar p-elasticae
by: Miura, Tatsuya, et al.
Published: (2022)

Evolving convex curves by a generalized length-preserving flow
by: Gao, Laiyuan, et al.
Published: (2020)

Discrete curve theory in space forms: planar elastic and area-constrained elastic curves
by: Hoffmann, Tim, et al.
Published: (2025)

Curve shortening flow with an ambient force field
by: Cuthbertson, Sam, et al.
Published: (2024)

The Harnack inequality without convexity for curve shortening flow
by: Sobnack, Arjun, et al.
Published: (2026)

Min-max theory and existence of H-spheres with arbitrary codimensions
by: Gao, Rui, et al.
Published: (2024)

Complete classification of planar p-elasticae
by: Miura, Tatsuya, et al.
Published: (2022)

Curvature-Torsion Entropy for Twisted Curves under Curve Shortening Flow
by: Khan, Gabriel
Published: (2023)

On the generalised ideal flow of closed planar curves
by: McCoy, James, et al.
Published: (2026)

On length-preserving and area-preserving inverse curvature flow of planar curves with singularities
by: Yang, Yunlong, et al.
Published: (2024)

Some results on evolutoids of convex curves in $2$-dimensional space forms
by: Junior, Ady Cambraia, et al.
Published: (2025)

Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces
by: Da Lio, Francesca, et al.
Published: (2026)

Smoothness of conformal heat flow of harmonic maps
by: Park, Woongbae
Published: (2023)

Singularities of the hyperbolic elastic flow: Convergence, quantization and blow-ups
by: Schlierf, Manuel
Published: (2023)

Smooth compactness of elasticae
by: Miura, Tatsuya
Published: (2024)

A curvature flow that deforms curves to an embedded target
by: Cuthbertson, Samuel, et al.
Published: (2024)

Variational stabilization of degenerate p-elasticae
by: Miura, Tatsuya, et al.
Published: (2023)

Stability of volume and area preserving mean curvature flow in asymptotic Schwarzschild space
by: Gui, Yaoting, et al.
Published: (2025)

Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
by: Pigazzini, Alexander
Published: (2026)

The length-preserving elastic flow with free boundary on hypersurfaces in $\mathbb{R}^n$
by: Dall'Acqua, Anna, et al.
Published: (2025)

Stability of flat-core pinned p-elasticae
by: Miura, Tatsuya, et al.
Published: (2025)

Classification and stability of penalized pinned elasticae
by: Müller, Marius, et al.
Published: (2024)

First-order elliptic boundary value problems on manifolds with non-compact boundary
by: Baer, Christian, et al.
Published: (2024)

Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
by: Kelmer, Filipe, et al.
Published: (2022)

Convergence to the planar interface for a nonlocal free-boundary evolution
by: Otto, Felix, et al.
Published: (2023)

Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds
by: Li, Yanlin, et al.
Published: (2024)