Lifespan theorem and gap lemma for the globally constrained Willmore flow

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2014.13.715 ◽

2013 ◽

Vol 13 (2) ◽

pp. 715-728

Author(s):

Yannan Liu ◽

Linfen Cao

Keyword(s):

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Error analysis of a finite element method for the Willmore flow of graphs

Interfaces and Free Boundaries ◽

10.4171/ifb/134 ◽

2006 ◽

pp. 21-46 ◽

Author(s):

Klaus Deckelnick ◽

Gerhard Dziuk

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Willmore Flow ◽

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A Phase-Field Approximation of the Willmore Flow with Volume and Area Constraints

SIAM Journal on Mathematical Analysis ◽

10.1137/120874126 ◽

2012 ◽

Vol 44 (6) ◽

pp. 3734-3754 ◽

Author(s):

Pierluigi Colli ◽

Philippe Laurençot

Keyword(s):

Phase Field ◽

Field Approximation ◽

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Willmore flow of planar networks

Journal of Differential Equations ◽

10.1016/j.jde.2018.08.019 ◽

2019 ◽

Vol 266 (4) ◽

pp. 2019-2051 ◽

Author(s):

Harald Garcke ◽

Julia Menzel ◽

Alessandra Pluda

Keyword(s):

Willmore Flow ◽

Planar Networks

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Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

SIAM Journal on Scientific Computing ◽

10.1137/070700231 ◽

2008 ◽

Vol 31 (1) ◽

pp. 225-253 ◽

Author(s):

John W. Barrett ◽

Harald Garcke ◽

Robert Nürnberg

Keyword(s):

Evolution Equations ◽

Geometric Evolution Equations ◽

Geometric Evolution ◽

Willmore Flow ◽

Parametric Approximation

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A p-Adaptive Local Discontinuous Galerkin Level Set Method for Willmore Flow

Journal of Scientific Computing ◽

10.1007/s10915-018-0656-3 ◽

2018 ◽

Vol 76 (2) ◽

pp. 1148-1167

Author(s):

Ruihan Guo ◽

Francis Filbet

Keyword(s):

Discontinuous Galerkin ◽

Level Set Method ◽

Level Set ◽

Local Discontinuous Galerkin ◽

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The Area Preserving Willmore Flow and Local Maximizers of the Hawking Mass in Asymptotically Schwarzschild Manifolds

Journal of Geometric Analysis ◽

10.1007/s12220-020-00401-6 ◽

2020 ◽

Author(s):

Thomas Koerber

Keyword(s):

Willmore Flow ◽

Area Preserving

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Short-Time Existence of the Möbius-Invariant Willmore Flow

Journal of Geometric Analysis ◽

10.1007/s12220-017-9857-5 ◽

2017 ◽

Vol 28 (2) ◽

pp. 1151-1181

Author(s):

Ruben Jakob

Keyword(s):

Willmore Flow ◽

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A phase-field approximation of the Willmore flow with volume constraint

Interfaces and Free Boundaries ◽

10.4171/ifb/261 ◽

2011 ◽

pp. 341-351 ◽

Author(s):

Pierluigi Colli ◽

Philippe Laurençot

Keyword(s):

Phase Field ◽

Field Approximation ◽

Volume Constraint ◽

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Computational parametric Willmore flow

Numerische Mathematik ◽

10.1007/s00211-008-0179-1 ◽

2008 ◽

Vol 111 (1) ◽

pp. 55-80 ◽

Author(s):

Gerhard Dziuk

Keyword(s):

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Numerical solution for the anisotropic Willmore flow of graphs

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.10.001 ◽

2015 ◽

Vol 88 ◽

pp. 1-17

Author(s):

Tomáš Oberhuber

Keyword(s):

Numerical Solution ◽

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