Pseudo null growth model and its classifications based on generalized vortex filament equation

被引：1
|
作者：
Qian, Jinhua [1 ]
Guo, Yao [1 ]
Kim, Young Ho [2 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110819, Peoples R China
[2] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
来源：
HELIYON | 2022年 / 8卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
Pseudo null growth surface; Hasimoto surface; Structure function; Minkowski space; CURVES;
D O I：
10.1016/j.heliyon.2022.e11600
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper. Meanwhile, the idea of the generalized Hasimoto surfaces is proposed based on the vortex filament equation. The conditions and geometric structures of the generalized Hasimoto pseudo null growth surfaces are investigated accompanied by some typical examples.
引用
收藏
页数：16
相关论文
共 50 条
  • [31] Freezing characteristic curve model of saline soil based on generalized Clapeyron equation
    Meng X.-C.
    Zhou J.-Z.
    Wei C.-F.
    Chen P.
    Zhang K.
    Shen Z.-Y.
    Zhejiang Daxue Xuebao (Gongxue Ban)/Journal of Zhejiang University (Engineering Science), 2020, 54 (12): : 2377 - 2385
  • [32] A quaternion-based obtention of the angle between adjacent sides in the evolution of regular polygons of M sides under the vortex filament equation
    Chamizo, Fernando
    de la Hoz, Francisco
    arXiv,
  • [33] Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry
    Zhang, Lie-Hui
    Li, Xiao-Ping
    Jia, Chun-Sheng
    PHYSICA SCRIPTA, 2009, 80 (03)
  • [34] A thermodynamic model of nanofluid viscosity based on a generalized Maxwell-type constitutive equation
    Lebon, Georgy
    Machrafi, Hatim
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2018, 253 : 1 - 6
  • [35] Fermion unification model based on the intrinsic SU(8) symmetry of a generalized Dirac equation
    Marsch, Eckart
    Narita, Yasuhito
    FRONTIERS IN PHYSICS, 2015, 3 (OCT)
  • [36] Construction of an Early Warning Model for Ischemic Stroke Recurrence Based on Generalized Estimating Equation
    高阳
    谢雁鸣
    王志飞
    张景肖
    王雷
    蔡业峰
    沈晓明
    赵徳喜
    谢颖桢
    赵性泉
    孟繁兴
    于海青
    World Journal of Integrated Traditional and Western Medicine, 2022, 8 (01) : 1 - 10
  • [37] AN EQUATION OF STATE FOR NONPOLAR SUBSTANCES BASED ON THE GENERALIZED VAN-DER-WAALS MODEL
    VANNHU, N
    IGLESIASSILVA, GA
    KOHLER, F
    FLUID PHASE EQUILIBRIA, 1993, 91 (02) : 215 - 237
  • [38] A generalized Kelvin model based on the particle flow code and its application
    Jin Ai-bing
    Wang Kai
    Zhang Xiu-feng
    Meng Xin-qiu
    Yang Zhen-wei
    ROCK AND SOIL MECHANICS, 2015, 36 (09) : 2695 - 2701
  • [39] Software Belief Reliability Growth Model Based on Uncertain Differential Equation
    Liu, Zhe
    Yang, Shunkun
    Yang, Minghao
    Kang, Rui
    IEEE TRANSACTIONS ON RELIABILITY, 2022, 71 (02) : 775 - 787
  • [40] A new model for the CBL growth based on the turbulent kinetic energy equation
    Antonio G. Goulart
    Davidson M. Moreira
    Marco T. Vilhena
    Gervásio A. Degrazia
    Sergej S. Zilitinkevich
    Environmental Fluid Mechanics, 2007, 7 : 409 - 419
12345