Hyperbolic flow by mean curvature

Horacio G. Rotstein; Simon Brandon; Amy Novick-Cohen

doi:10.1016/S0022-0248(98)01006-9

Hyperbolic flow by mean curvature

Horacio G. Rotstein
, Simon Brandon
, Amy Novick-Cohen

Research output: Contribution to journal › Conference article › peer-review

24 Scopus citations

Abstract

A hyperbolic flow by mean curvature equation, v_t + γv = κ, for the evolution of interfaces is studied. Here v, κ and v_t are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.

Original language	English (US)
Pages (from-to)	1256-1261
Number of pages	6
Journal	Journal of Crystal Growth
Volume	198-199
Issue number	pt 2
DOIs	https://doi.org/10.1016/S0022-0248(98)01006-9
State	Published - Mar 1999
Externally published	Yes
Event	Proceedings of the 1998 10th International Conference on Vapor Growth and Epitaxy and Specialist Workshops on Crystal Growth, ICVGE-10 - Jerusalem, Isr Duration: Jul 26 1998 → Jul 31 1998

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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10.1016/S0022-0248(98)01006-9

Cite this

@article{366c95d05dfe4523bdb520ad3f640066,

title = "Hyperbolic flow by mean curvature",

abstract = "A hyperbolic flow by mean curvature equation, vt + γv = κ, for the evolution of interfaces is studied. Here v, κ and vt are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.",

author = "Rotstein, \{Horacio G.\} and Simon Brandon and Amy Novick-Cohen",

note = "Funding Information: This research was supported by the Fund for the Promotion of Research at the Technion.; Proceedings of the 1998 10th International Conference on Vapor Growth and Epitaxy and Specialist Workshops on Crystal Growth, ICVGE-10 ; Conference date: 26-07-1998 Through 31-07-1998",

year = "1999",

month = mar,

doi = "10.1016/S0022-0248(98)01006-9",

language = "English (US)",

volume = "198-199",

pages = "1256--1261",

journal = "Journal of Crystal Growth",

issn = "0022-0248",

publisher = "Elsevier B.V.",

number = "pt 2",

}

TY - JOUR

T1 - Hyperbolic flow by mean curvature

AU - Rotstein, Horacio G.

AU - Brandon, Simon

AU - Novick-Cohen, Amy

N1 - Funding Information: This research was supported by the Fund for the Promotion of Research at the Technion.

PY - 1999/3

Y1 - 1999/3

N2 - A hyperbolic flow by mean curvature equation, vt + γv = κ, for the evolution of interfaces is studied. Here v, κ and vt are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.

AB - A hyperbolic flow by mean curvature equation, vt + γv = κ, for the evolution of interfaces is studied. Here v, κ and vt are the normal velocity, curvature and normal acceleration of the interface. A crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process. The motion of circular interfaces is also studied both analytically and numerically.

UR - https://www.scopus.com/pages/publications/0033514538

UR - https://www.scopus.com/pages/publications/0033514538#tab=citedBy

U2 - 10.1016/S0022-0248(98)01006-9

DO - 10.1016/S0022-0248(98)01006-9

M3 - Conference article

AN - SCOPUS:0033514538

SN - 0022-0248

VL - 198-199

SP - 1256

EP - 1261

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

IS - pt 2

T2 - Proceedings of the 1998 10th International Conference on Vapor Growth and Epitaxy and Specialist Workshops on Crystal Growth, ICVGE-10

Y2 - 26 July 1998 through 31 July 1998

ER -

Hyperbolic flow by mean curvature

Abstract

All Science Journal Classification (ASJC) codes

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