Phase Field Computations of Single-Needle Crystals, Crystal Growth, and Motion by Mean Curvature

SIAM Journal on Scientific Computing ◽

10.1137/0915007 ◽

1994 ◽

Vol 15 (1) ◽

pp. 106-126 ◽

Author(s):

G. Caginalp ◽

E. Socolovsky

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Mean Curvature ◽

Motion By Mean Curvature

Download Full-text

Singular limit of reaction–diffusion systems and modified motion by mean curvature

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200046x ◽

2002 ◽

Vol 132 (04) ◽

pp. 951

Keyword(s):

Mean Curvature ◽

Reaction Diffusion ◽

Singular Limit ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Motion By Mean Curvature

Download Full-text

Motion by mean curvature in interacting particle systems

Probability Theory and Related Fields ◽

10.1007/s00440-021-01082-0 ◽

2021 ◽

Author(s):

Xiangying Huang ◽

Rick Durrett

Keyword(s):

Mean Curvature ◽

Interacting Particle Systems ◽

Particle Systems ◽

Interacting Particle ◽

Motion By Mean Curvature

Download Full-text

Phase field model derivation for rapid crystal growth in polycrystalline alloys

The European Physical Journal Special Topics ◽

10.1140/epjst/e2019-900057-9 ◽

2020 ◽

Vol 229 (2-3) ◽

pp. 453-458

Author(s):

Irina G. Nizovtseva ◽

Nele Moelans ◽

Alexander A. Ivanov

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Polycrystalline Alloys ◽

Model Derivation

Download Full-text

Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics

Journal of Differential Equations ◽

10.1016/0022-0396(91)90147-2 ◽

1991 ◽

Vol 90 (2) ◽

pp. 211-237 ◽

Author(s):

Lia Bronsard ◽

Robert V Kohn

Keyword(s):

Mean Curvature ◽

Singular Limit ◽

Ginzburg Landau ◽

Motion By Mean Curvature

Download Full-text

An Approximation Scheme for Motion by Mean Curvature with Right-Angle Boundary Condition

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141000368107 ◽

2001 ◽

Vol 33 (2) ◽

pp. 369-389 ◽

Author(s):

Hitoshi Ishii ◽

Katsuyuki Ishii

Keyword(s):

Boundary Condition ◽

Mean Curvature ◽

Approximation Scheme ◽

Motion By Mean Curvature

Download Full-text

Phase-field-crystal simulation of nonequilibrium crystal growth

Physical Review E ◽

10.1103/physreve.89.012405 ◽

2014 ◽

Vol 89 (1) ◽

Author(s):

Sai Tang ◽

Yan-Mei Yu ◽

Jincheng Wang ◽

Junjie Li ◽

Zhijun Wang ◽

...

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Phase Field Crystal

Download Full-text

A simple anisotropic surface free energy function for three-dimensional phase field modeling of multi-crystalline crystal growth

Journal of Crystal Growth ◽

10.1016/j.jcrysgro.2012.01.004 ◽

2013 ◽

Vol 362 ◽

pp. 62-65 ◽

Author(s):

H.K. Lin ◽

C.C. Chen ◽

C.W. Lan

Keyword(s):

Free Energy ◽

Crystal Growth ◽

Surface Free Energy ◽

Phase Field ◽

Energy Function ◽

Three Dimensional ◽

Free Energy Function ◽

Phase Field Modeling ◽

Anisotropic Surface ◽

Download Full-text

Uniqueness of motion by mean curvature perturbed by stochastic noise

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2002.11.001 ◽

2004 ◽

Vol 21 (1) ◽

pp. 1-23

Author(s):

P.E Souganidis ◽

N.K Yip

Keyword(s):

Mean Curvature ◽

Stochastic Noise ◽

Motion By Mean Curvature

Download Full-text

Phase-field simulations of crystal growth in a two-dimensional cavity flow

Computer Physics Communications ◽

10.1016/j.cpc.2017.03.005 ◽

2017 ◽

Vol 216 ◽

pp. 84-94 ◽

Author(s):

Seunggyu Lee ◽

Yibao Li ◽

Jaemin Shin ◽

Junseok Kim

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Cavity Flow ◽

Two Dimensional

Download Full-text

Mean Curvature, Threshold Dynamics, and Phase Field Theory on Finite Graphs

10.21236/ada581612 ◽

2013 ◽

Author(s):

Yves van Gennip ◽

Nestor Guillen ◽

Braxton Osting ◽

Andrea L. Bertozzi

Keyword(s):

Field Theory ◽

Phase Field ◽

Mean Curvature ◽

Threshold Dynamics ◽

Download Full-text