FORCED ANISOTROPIC MEAN CURVATURE FLOW OF GRAPHS IN RELATIVE GEOMETRY

被引：0
|
作者：
Hoang, Dieu Hung [1 ]
Benes, Michal [1 ]
机构：
[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000, Czech Republic
来源：
MATHEMATICA BOHEMICA | 2014年 / 139卷 / 02期
关键词：
anisotropy; mean curvature flow; Finsler metric; fused deposition modeling; epitaxial growth;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics. A semi-discrete numerical scheme based on the method of lines is presented. Computational results with various anisotropy settings are shown and discussed.
引用
收藏
页码：429 / 436
页数：8
相关论文
共 50 条
  • [1] Numerical Simulation of Anisotropic Mean Curvature of Graphs in Relative Geometry
    Hoang, Dieu Hung
    Benes, Michal
    Oberhuber, Tomas
    ACTA POLYTECHNICA HUNGARICA, 2013, 10 (07) : 99 - 115
  • [2] Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
    Bellettini, Giovanni
    Chambolle, Antonin
    Kholmatov, Shokhrukh
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (04) : 1135 - 1170
  • [3] Regularity for graphs with bounded anisotropic mean curvature
    De Rosa, Antonio
    Tione, Riccardo
    INVENTIONES MATHEMATICAE, 2022, 230 (02) : 463 - 507
  • [4] Regularity for graphs with bounded anisotropic mean curvature
    Antonio De Rosa
    Riccardo Tione
    Inventiones mathematicae, 2022, 230 : 463 - 507
  • [5] FORCED HYPERBOLIC MEAN CURVATURE FLOW
    Mao, Jing
    KODAI MATHEMATICAL JOURNAL, 2012, 35 (03) : 500 - 522
  • [6] Discrete anisotropic curvature flow of graphs
    Deckelnick, K
    Dziuk, G
    RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1999, 33 (06): : 1203 - 1222
  • [7] Approximation of the anisotropic mean curvature flow
    Chambolle, Antonin
    Novaga, Matteo
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (06): : 833 - 844
  • [8] A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
    Jang, Jiwoong
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 31 (03):
  • [9] A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
    Jiwoong Jang
    Nonlinear Differential Equations and Applications NoDEA, 2024, 31
  • [10] Translating graphs by mean curvature flow
    Leili Shahriyari
    Geometriae Dedicata, 2015, 175 : 57 - 64
12345