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
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
  • [21] Mathematical modelling and analysis of plastic waste pollution and its impact on the ocean surface (vol 5, pg 136, 2019)
    Yung, Tay Zhi
    Wei Yanji
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2021, 6 (01) : 102 - 102
  • [22] Parametrical excitement vibration in tandem mills-mathematical model and its analysis
    Swiatoniowski, A
    Bar, A
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2003, 134 (02) : 214 - 224
  • [23] Mathematical Modelling and Analysis: Preface
    Math. Model. Anal., 2009, 1
  • [24] Mathematical Modelling and Analysis: Preface
    Math. Model. Anal., 2008, 1
  • [25] Mathematical analysis - Local study of a surface and some of its integrals
    Cotton, E
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1934, 198 : 1285 - 1288
  • [26] Magnetorheological damper design to improve vibration mitigation under a volume constraint
    Wang, Mukai
    Chen, Zhaobo
    Wereley, Norman M.
    SMART MATERIALS AND STRUCTURES, 2019, 28 (11)
  • [27] Mathematical Modelling and Analysis of Variation in Surface of Solar Scheffler Concentrator for Seasonal Variations
    Bajaj, Rohan
    Raj, Amrit
    Srinivas, T.
    2016 INTERNATIONAL CONFERENCE ON ENERGY EFFICIENT TECHNOLOGIES FOR SUSTAINABILITY (ICEETS), 2016, : 78 - 83
  • [28] Surface and volume effects in multimodal ultrasonic vibration assisted micro-extrusion forming: Experiments and modelling
    Wan, Weiqiang
    Han, Guangchao
    Liu, Fuchu
    Hu, Jitao
    Xu, Linhong
    Bai, Wei
    Chen, Hui
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2023, 322
  • [29] Vibration of Composite Plate - Mathematical Modelling and Experimental Verification by ESPI
    Seidl, David
    Kostial, Pavol
    Jancikova, Zora
    Rusnakova, Sona
    DIGITAL INFORMATION PROCESSING AND COMMUNICATIONS, PT 2, 2011, 189 : 322 - 328
  • [30] Mathematical modelling of the formation and evolution of surface ice
    Unduche, Fisaha S.
    Doering, John C.
    CANADIAN JOURNAL OF CIVIL ENGINEERING, 2021, 48 (08) : 889 - 896