crystalline curvature Latest Research Papers

Existence and uniqueness for planar anisotropic and crystalline curvature flow

Variational Methods for Evolving Objects ◽

10.2969/aspm/06710087 ◽

2019 ◽

Cited By ~ 1

Author(s):

Antonin Chambolle ◽

Matteo Novaga

Keyword(s):

Existence And Uniqueness ◽

Curvature Flow ◽

Crystalline Curvature

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Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves

Asymptotic Analysis and Singularities — Elliptic and parabolic PDEs and related problems ◽

10.2969/aspm/04720543 ◽

2019 ◽

Cited By ~ 1

Author(s):

Chiaki Hirota ◽

Tetsuya Ishiwata ◽

Shigetoshi Yazaki

Keyword(s):

Numerical Study ◽

Polygonal Curves ◽

Crystalline Curvature

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Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2019058 ◽

2017 ◽

Vol 22 (11) ◽

pp. 1-35

Author(s):

Tetsuya Ishiwata ◽

◽

Takeshi Ohtsuka ◽

Keyword(s):

Curvature Flow ◽

Polygonal Curve ◽

Crystalline Curvature

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On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2011.4.865 ◽

2011 ◽

Vol 4 (4) ◽

pp. 865-873 ◽

Cited By ~ 3

Author(s):

Tetsuya Ishiwata ◽

Keyword(s):

Curvature Flow ◽

Polygonal Curves ◽

Asymptotic Lines ◽

Crystalline Curvature ◽

Bulk Effect

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Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term

Journal of Differential Equations ◽

10.1016/j.jde.2009.01.009 ◽

2009 ◽

Vol 246 (6) ◽

pp. 2264-2303 ◽

Cited By ~ 6

Author(s):

Yoshikazu Giga ◽

Piotr Rybka

Keyword(s):

Forcing Term ◽

Crystalline Curvature

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Almost classical solutions of static Stefan type problems involving crystalline curvature

Nonlocal and Abstract Parabolic Equations and their Applications ◽

10.4064/bc86-0-14 ◽

2009 ◽

Cited By ~ 2

Author(s):

Piotr Bogusław Mucha ◽

Piotr Rybka

Keyword(s):

Classical Solutions ◽

Crystalline Curvature

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Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167521 ◽

2008 ◽

Vol 25 (2) ◽

pp. 233-253 ◽

Cited By ~ 6

Author(s):

Tetsuya Ishiwata

Keyword(s):

Convex Polygons ◽

Crystalline Curvature ◽

Almost Convexity

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MOTION OF NON-CONVEX POLYGON BY CRYSTALLINE CURVATURE FLOW AND ITS GENERALIZATION

Recent Advances in Nonlinear Analysis ◽

10.1142/9789812709257_0008 ◽

2008 ◽

Author(s):

TETSUYA ISHIWATA

Keyword(s):

Convex Polygon ◽

Curvature Flow ◽

Crystalline Curvature

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Facet Bending in the Driven Crystalline Curvature Flow in the Plane

Journal of Geometric Analysis ◽

10.1007/s12220-007-9004-9 ◽

2007 ◽

Vol 18 (1) ◽

pp. 109-147 ◽

Cited By ~ 11

Author(s):

Yoshikazu Giga ◽

Piotr Rybka

Keyword(s):

Curvature Flow ◽

Crystalline Curvature

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NONUNIQUENESS FOR CRYSTALLINE CURVATURE FLOW

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202507002297 ◽

2007 ◽

Vol 17 (08) ◽

pp. 1307-1315

Author(s):

MATTEO NOVAGA ◽

MAURIZIO PAOLINI

Keyword(s):

Curvature Flow ◽

Wulff Shape ◽

Crystalline Curvature

We discuss some examples of nonuniqueness for the crystalline curvature flow, when the Wulff shape is a square not centered at the origin.

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crystalline curvature
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

Existence and uniqueness for planar anisotropic and crystalline curvature flow

Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves

Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip

On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term

Almost classical solutions of static Stefan type problems involving crystalline curvature

Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

MOTION OF NON-CONVEX POLYGON BY CRYSTALLINE CURVATURE FLOW AND ITS GENERALIZATION

Facet Bending in the Driven Crystalline Curvature Flow in the Plane

NONUNIQUENESS FOR CRYSTALLINE CURVATURE FLOW

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crystalline curvatureRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

Existence and uniqueness for planar anisotropic and crystalline curvature flow

Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves

Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip

On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term

Almost classical solutions of static Stefan type problems involving crystalline curvature

Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

MOTION OF NON-CONVEX POLYGON BY CRYSTALLINE CURVATURE FLOW AND ITS GENERALIZATION

Facet Bending in the Driven Crystalline Curvature Flow in the Plane

NONUNIQUENESS FOR CRYSTALLINE CURVATURE FLOW

crystalline curvature
Recently Published Documents