Oscillations in one-dimensional elasticity with surface energy

被引：1
|
作者：
Fonseca, I [1 ]
Schaeffer, J [1 ]
Shvartsman, MM [1 ]
机构：
[1] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA
来源：
QUARTERLY OF APPLIED MATHEMATICS | 1999年 / 57卷 / 03期
关键词：
oscillations; div-curl lemma;
D O I：
10.1090/qam/1704443
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The characterization of the oscillatory behavior of solutions of a semilinear equation in one space dimension is obtained. In this work the model equation for a material undergoing a phase transition encompasses a surface energy term and first-order memory effects.
引用
收藏
页码：475 / 499
页数：25
相关论文
共 50 条
  • [31] LONGITUDINAL OSCILLATIONS IN BOUNDED ONE-DIMENSIONAL NONUNIFORM PLASMAS
    HARKER, KJ
    KINO, GS
    EITELBACH, DL
    PHYSICS OF FLUIDS, 1968, 11 (02) : 425 - +
  • [32] Cavity soliton oscillations in a one-dimensional fiber resonator
    Gelens, L.
    Leo, F.
    Emplit, Philippe
    Haelterman, Marc
    Coen, Stephane
    2012 IEEE PHOTONICS CONFERENCE (IPC), 2012, : 364 - +
  • [33] Oscillations and spatiotemporal chaos of one-dimensional fluid fronts
    Vallette, DP
    Jacobs, G
    Gollub, JP
    PHYSICAL REVIEW E, 1997, 55 (04): : 4274 - 4287
  • [34] Josephson oscillations in split one-dimensional Bose gases
    van Nieuwkerk, Yuri D.
    Schmiedmayer, Joerg
    Essler, Fabian H. L.
    SCIPOST PHYSICS, 2021, 10 (04):
  • [35] Switching induced oscillations in discrete one-dimensional systems
    Mendoza, Steve A.
    Peacock-Lopez, Enrique
    CHAOS SOLITONS & FRACTALS, 2018, 115 : 35 - 44
  • [36] Impurity induced current oscillations in one-dimensional conductors
    Artemenko, S. N.
    Shapiro, D. S.
    Vakhitov, R. R.
    Remizov, S. V.
    16TH INTERNATIONAL CONFERENCE ON ELECTRON DYNAMICS IN SEMICONDUCTORS, OPTOELECTRONICS AND NANOSTRUCTURES (EDISON 16), 2009, 193
  • [37] Friedel oscillations in the one-dimensional Kondo lattice model
    Shibata, N
    Ueda, K
    Nishino, T
    Ishii, C
    PHYSICAL REVIEW B, 1996, 54 (19) : 13495 - 13498
  • [38] Talbot oscillations and periodic focusing in a one-dimensional condensate
    Rojo, AG
    Cohen, JL
    Berman, PR
    PHYSICAL REVIEW A, 1999, 60 (02) : 1482 - 1490
  • [39] Oscillations of atomic fermions in a one-dimensional optical lattice
    Kennedy, TAB
    PHYSICAL REVIEW A, 2004, 70 (02): : 023603 - 1
  • [40] Talbot oscillations and periodic focusing in a one-dimensional condensate
    Phys Rev A, 2 (1482):
12345