Theory and numerics for Chen's flow of curves (Q6038862)

scientific article; zbMATH DE number 7681517

Language	Label	Description	Also known as
English	Theory and numerics for Chen's flow of curves	scientific article; zbMATH DE number 7681517

Statements

instance of

scholarly article

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title

Theory and numerics for Chen's flow of curves (English)

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published in

Journal of Differential Equations

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publication date

3 May 2023

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full work available at URL

https://arxiv.org/abs/2004.09052

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zbMATH Keywords

curvature flow

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nonlinear parabolic partial differential equation

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MaRDI profile type

MaRDI publication profile

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cites work

Evolving convex curves

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Closed ideal planar curves

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Classification results for biharmonic submanifolds in spheres

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The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

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Concentration-compactness and finite-time singularities for Chen's flow

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Recent developments of biharmonic conjecture and modified biharmonic conjectures

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A blow-up criterion for the curve shortening flow by surface diffusion

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Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space $\mathbb E_s^4$

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CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW

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Evolution of Elastic Curves in $\Rn$: Existence and Computation

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The shrinking figure eight and other solitons for the curve diffusion flow

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On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick

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Q3788657

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The heat equation shrinking convex plane curves

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An isoperimetric inequality with applications to curve shortening

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Curve shortening on surfaces

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Flow by mean curvature of convex surfaces into spheres

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A distance comparison principle for evolving curves

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On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations

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Weakly convex biharmonic hypersurfaces in nonpositive curvature space forms are minimal

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Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold

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A Singular Example for the Averaged Mean Curvature Flow

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A sixth order curvature flow of plane curves with boundary conditions

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Riemannian geometries on spaces of plane curves

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Q5442437

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Biharmonic maps into a Riemannian manifold of non-positive curvature

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Biharmonic hypersurfaces in Riemannian manifolds

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Some recent progress of biharmonic submanifolds

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On the generalized Chen's conjecture on biharmonic submanifolds

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The polyharmonic heat flow of closed plane curves

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The anisotropic polyharmonic curve flow for closed plane curves

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Mean curvature flow and geometric inequalities

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Biharmonic maps from a 2-sphere

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CHEN'S CONJECTURE AND ε-SUPERBIHARMONIC SUBMANIFOLDS OF RIEMANNIAN MANIFOLDS

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On the curve diffusion flow of closed plane curves

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Convergence for global curve diffusion flows

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On an inverse curvature flow in two-dimensional space forms

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Identifiers

zbMATH Open document ID

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10.1016/j.jde.2023.02.064

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6038862