The Effective Dynamics of the Volume Preserving Mean Curvature Flow

Ilias Chenn; G. Fournodavlos; I. M. Sigal

doi:10.1007/s10955-018-2041-x

The Effective Dynamics of the Volume Preserving Mean Curvature Flow

Journal of Statistical Physics ◽

10.1007/s10955-018-2041-x ◽

2018 ◽

Vol 172 (2) ◽

pp. 458-476

Author(s):

Ilias Chenn ◽

G. Fournodavlos ◽

I. M. Sigal

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Effective Dynamics ◽

Volume Preserving

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Optimal control of volume-preserving mean curvature flow

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110373 ◽

2021 ◽

pp. 110373

Author(s):

Antoine Laurain ◽

Shawn W. Walker

Keyword(s):

Optimal Control ◽

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Volume Preserving

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Volume-preserving nonhomogeneous mean curvature flow of convex hypersurfaces

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-018-0725-0 ◽

2018 ◽

Vol 197 (4) ◽

pp. 1295-1309 ◽

Cited By ~ 4

Author(s):

Maria Chiara Bertini ◽

Carlo Sinestrari

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Volume Preserving ◽

Convex Hypersurfaces

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Complete $$\lambda $$ λ -hypersurfaces of weighted volume-preserving mean curvature flow

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-018-1303-4 ◽

2018 ◽

Vol 57 (2) ◽

Cited By ~ 12

Author(s):

Qing-Ming Cheng ◽

Guoxin Wei

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Volume Preserving

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Volume-preserving mean curvature flow of revolution hypersurfaces in a Rotationally Symmetric Space

Mathematische Zeitschrift ◽

10.1007/s00209-008-0333-6 ◽

2008 ◽

Vol 261 (3) ◽

pp. 489-510 ◽

Cited By ~ 9

Author(s):

Esther Cabezas-Rivas ◽

Vicente Miquel

Keyword(s):

Symmetric Space ◽

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Rotationally Symmetric ◽

Volume Preserving

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Global solutions to the volume-preserving mean-curvature flow

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-015-0943-x ◽

2016 ◽

Vol 55 (1) ◽

Cited By ~ 6

Author(s):

Luca Mugnai ◽

Christian Seis ◽

Emanuele Spadaro

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Global Solutions ◽

Curvature Flow ◽

Volume Preserving

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Behaviour of singularities of the rotationally symmetric, volume-preserving mean curvature flow

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-002-0098-4 ◽

2003 ◽

Vol 17 (1) ◽

pp. 1-16 ◽

Cited By ~ 17

Author(s):

M. Athanassenas

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Rotationally Symmetric ◽

Volume Preserving

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A nonlinear partial differential equation for the volume preserving mean curvature flow

Networks & Heterogeneous Media ◽

10.3934/nhm.2013.8.9 ◽

2013 ◽

Vol 8 (1) ◽

pp. 9-22

Author(s):

Dimitra Antonopoulou ◽

◽

Georgia Karali

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Mean Curvature ◽

Mean Curvature Flow ◽

Nonlinear Partial Differential Equation ◽

Curvature Flow ◽

Partial Differential ◽

Volume Preserving

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Volume preserving anisotropic mean curvature flow

Indiana University Mathematics Journal ◽

10.1512/iumj.2001.50.1853 ◽

2001 ◽

Vol 50 (2) ◽

pp. 0-0 ◽

Cited By ~ 37

Author(s):

Ben Andrews

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Anisotropic Mean Curvature ◽

Volume Preserving

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The volume preserving mean curvature flow.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1987.382.35 ◽

1987 ◽

Vol 1987 (382) ◽

pp. 35-48 ◽

Cited By ~ 19

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Volume Preserving

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Complete bounded λ-hypersurfaces in the weighted volume-preserving mean curvature flow

Science China Mathematics ◽

10.1007/s11425-016-9020-9 ◽

2017 ◽

Vol 61 (5) ◽

pp. 929-942 ◽

Cited By ~ 1

Author(s):

Yecheng Zhu ◽

Yi Fang ◽

Qing Chen

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Volume Preserving

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