# Motion of spirals by crystalline curvature

Hitoshi Imai; Naoyuki Ishimura; TaKeo Ushijima

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 4, page 797-806
- ISSN: 0764-583X

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topImai, Hitoshi, Ishimura, Naoyuki, and Ushijima, TaKeo. "Motion of spirals by crystalline curvature." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 797-806. <http://eudml.org/doc/197602>.

@article{Imai2010,

abstract = {
Modern physics theories claim that the dynamics of interfaces between
the two-phase is described by the evolution equations involving the
curvature and various kinematic energies. We consider the motion of
spiral-shaped polygonal curves by its crystalline curvature, which
deserves a mathematical model of real crystals. Exploiting the
comparison principle, we show the local existence and uniqueness of the
solution.
},

author = {Imai, Hitoshi, Ishimura, Naoyuki, Ushijima, TaKeo},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Crystalline motion; spiral-shaped polygonal curves; material
sciences.; evolution equations; curvature; kinematic energies; local existence; uniqueness; solution},

language = {eng},

month = {3},

number = {4},

pages = {797-806},

publisher = {EDP Sciences},

title = {Motion of spirals by crystalline curvature},

url = {http://eudml.org/doc/197602},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Imai, Hitoshi

AU - Ishimura, Naoyuki

AU - Ushijima, TaKeo

TI - Motion of spirals by crystalline curvature

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 4

SP - 797

EP - 806

AB -
Modern physics theories claim that the dynamics of interfaces between
the two-phase is described by the evolution equations involving the
curvature and various kinematic energies. We consider the motion of
spiral-shaped polygonal curves by its crystalline curvature, which
deserves a mathematical model of real crystals. Exploiting the
comparison principle, we show the local existence and uniqueness of the
solution.

LA - eng

KW - Crystalline motion; spiral-shaped polygonal curves; material
sciences.; evolution equations; curvature; kinematic energies; local existence; uniqueness; solution

UR - http://eudml.org/doc/197602

ER -

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