An anisotropic area-preserving flow and its geometric application

被引:0
|
作者
Yang, Yunlong [1 ]
Liu, Lina [1 ]
机构
[1] Dalian Maritime Univ, Sch Sci, Dalian 116026, Peoples R China
基金
中国国家自然科学基金;
关键词
Anisotropic area-preserving flow; asymptotic behavior; logarithmic Minkowski problem; EVOLVING PLANE-CURVES; MULTIPHASE THERMOMECHANICS; INTERFACIAL STRUCTURE; CURVATURE; EVOLUTION;
D O I
10.1142/S0129167X23501057
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper centers its attention on an anisotropic area-preserving flow with the goal of establishing the existence of smooth solutions to the even, planar logarithmic Minkowski problem by the asymptotic behavior of this flow.
引用
收藏
页数:14
相关论文
共 50 条
  • [31] Area-Preserving Parameterization with Tutte Regularization
    Jingyao Ke
    Bin Xu
    Zhouwang Yang
    [J]. Communications in Mathematics and Statistics, 2023, 11 : 727 - 740
  • [32] GEOMETRY OF A GROUP OF AREA-PRESERVING DIFFEOMORPHISMS
    ARAKELYAN, TA
    SAVVIDY, GK
    [J]. PHYSICS LETTERS B, 1989, 223 (01) : 41 - 46
  • [33] Slow area-preserving diffeomorphisms of the torus
    Borichev, A
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2004, 141 (1) : 277 - 284
  • [34] RELAXATION IN PERTURBED AREA-PRESERVING MAPS
    BREYMANN, W
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1993, 48 (5-6): : 663 - 665
  • [35] TROPICAL DYNAMICS OF AREA-PRESERVING MAPS
    Filip, Simion
    [J]. JOURNAL OF MODERN DYNAMICS, 2019, 14 : 179 - 226
  • [36] Area-preserving approximations of polygonal paths
    Bose, Prosenjit
    Cabello, Sergio
    Cheong, Otfried
    Gudmundsson, Joachim
    van Kreveld, Marc
    Speckmann, Bettina
    [J]. JOURNAL OF DISCRETE ALGORITHMS, 2006, 4 (04) : 554 - 566
  • [37] Generic area-preserving reversible diffeomorphisms
    Bessa, Mario
    Carvalho, Maria
    Rodrigues, Alexandre
    [J]. NONLINEARITY, 2015, 28 (06) : 1695 - 1720
  • [38] Area-Preserving Parameterizations for Spherical Ellipses
    Guillen, Ibon
    Urena, Carlos
    King, Alan
    Fajardo, Marcos
    Georgiev, Iliyan
    Lopez-Moreno, Jorge
    Jarabo, Adrian
    [J]. COMPUTER GRAPHICS FORUM, 2017, 36 (04) : 179 - 187
  • [39] Area-Preserving Parameterization with Tutte Regularization
    Ke, Jingyao
    Xu, Bin
    Yang, Zhouwang
    [J]. COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2023, 11 (04) : 727 - 740
  • [40] A Dichotomy in Area-Preserving Reversible Maps
    Bessa, Mario
    Rodrigues, Alexandre A. P.
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2016, 15 (02) : 309 - 326