On the low-frequency asymptotic expansion for some second-order elliptic systems in a two-dimensional exterior domain

被引:0
|
作者
Dan, W
机构
[1] Institute of Mathematics, University of Tsukuba, Tsukuba-ski
关键词
D O I
10.1002/(SICI)1099-1476(19960910)19:13<1073::AID-MMA812>3.0.CO;2-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive the low-frequency asymptotic expansion of the exterior boundary value problems in two dimensions for second-order elliptic system concerning the theory of elastostatics. As an application of our result, the rate of the local energy decay of solutions of the initial boundary value problem for the corresponding dynamical system is discussed.
引用
收藏
页码:1073 / 1090
页数:18
相关论文
共 50 条
  • [31] Two-dimensional imaging of a second-order nonlinear optical process
    Bhattacharyya, Indrajit
    Goswami, Debabrata
    CURRENT SCIENCE, 2017, 112 (04): : 830 - 834
  • [32] Second-order Godunov algorithm for two-dimensional solid mechanics
    Trangenstein, John A., 1600, Publ by Springer-Verlag GmbH & Company KG, Berlin 33, Germany (13):
  • [33] Second-order topological modes in two-dimensional continuous media
    Kosata, Jan
    Zilberberg, Oded
    PHYSICAL REVIEW RESEARCH, 2021, 3 (03):
  • [34] Two-Dimensional Model of Second-Order Accuracy for an Anisotropic Plate
    P. E. Tovstik
    Vestnik St. Petersburg University, Mathematics, 2019, 52 : 112 - 121
  • [35] A second-order absorbing boundary condition for two-dimensional peridynamics
    Pang, Gang
    Ji, Songsong
    Chao, Leiyu
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2023, 57 (05) : 3029 - 3059
  • [36] The theory of second-order phase transitions in two-dimensional lattice
    Novikov, I. I.
    HIGH TEMPERATURE, 2008, 46 (04) : 576 - 578
  • [38] TWO HOMOCLINIC ORBITS FOR SOME SECOND-ORDER HAMILTONIAN SYSTEMS
    Cerda, Patricio
    Faria, Luiz F. O.
    Toon, Eduard
    Ubilla, Pedro
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 427 - 444
  • [39] Two-dimensional spectroscopy of electric birefringence relaxation in frequency domain: Measurement method for second-order nonlinear after-effect function
    Hosokawa, K
    Shimomura, T
    Frusawa, H
    Kimura, Y
    Ito, K
    Hayakawa, R
    JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (08): : 4101 - 4108
  • [40] SECOND-ORDER LOW-FREQUENCY WAVE FORCES ON A VERTICAL CIRCULAR CYLINDER.
    Zhou, Chinpu
    Liu, Philip L.F.
    Journal of Fluid Mechanics, 1987, 175 : 143 - 155