Mathematical modelling of surface vibration with volume constraint and its analysis

被引：8
|
作者：
Svadlenka, Karel [1 ]
Omata, Seiro [1 ]
机构：
[1] Kanazawa Univ, Grad Sch Nat Sci & Technol, Kanazawa, Ishikawa 9201192, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 09期
关键词：
Nonlinear hyperbolic equation; Variational method; Discrete Morse flow; Volume constraint;
D O I：
10.1016/j.na.2007.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A hyperbolic problem with volume constraint is investigated by means of a minimizing method called the discrete Morse flow. A weak solution is introduced in a constructive way and results of numerical computations are shown. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3202 / 3212
页数：11
相关论文
共 50 条
  • [11] Nonlinear Axisymmetric Free Vibration Analysis of Liquid-Filled Spherical Shell With Volume Constraint
    Jiammeepreecha, W.
    Chucheepsakul, S.
    JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2017, 139 (05):
  • [12] MATHEMATICAL MODELLING OF AMF GEOMETRY AND FREQUENCY IMPACTS ON VOLUME AND SURFACE MELT FLOWS AT INDUCTION MELTING
    Nikulin, I. L.
    MAGNETOHYDRODYNAMICS, 2016, 52 (04): : 513 - 526
  • [13] Mathematical modelling of multibody-beam system vibration
    Dupal, J
    Zeman, V
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1997, 77 : S75 - S76
  • [14] Mathematical modelling of cylindrical electromagnetic vibration energy harvesters
    Morgado, M. L.
    Morgado, L. F.
    Silva, N.
    Morais, R.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (01) : 101 - 109
  • [15] Mathematical modelling of the main bearing vibration of shield machine
    Huang, Ke
    Zhou, Qicai
    Academic Journal of Manufacturing Engineering, 2019, 17 (02): : 98 - 104
  • [16] Surface constraint: a new approach for modelling stereopsis
    Geier, J.
    PERCEPTION, 1998, 27 : 100 - 100
  • [17] Torsional wave and vibration subjected to constraint of surface elasticity
    Zaixing Huang
    Acta Mechanica, 2018, 229 : 1171 - 1182
  • [18] Torsional wave and vibration subjected to constraint of surface elasticity
    Huang, Zaixing
    ACTA MECHANICA, 2018, 229 (03) : 1171 - 1182
  • [19] Mathematical Modelling of Leprosy and Its Control
    Blok, David J.
    de Vlas, Sake J.
    Fischer, Egil A. J.
    Richardus, Jan Hendrik
    MATHEMATICAL MODELS FOR NEGLECTED TROPICAL DISEASES: ESSENTIAL TOOLS FOR CONTROL AND ELIMINATION, PT A, 2015, 87 : 33 - 51
  • [20] Tumour radiotherapy and its mathematical modelling
    Cappuccio, Antonio
    Herrero, Miguel A.
    Nunez, Luis
    MATHEMATICS, DEVELOPMENTAL BIOLOGY AND TUMOUR GROWTH, 2009, 492 : 77 - 102
12345