Dimension of the global attractor for discretization of damped Sine-Gordon equation

被引：6
作者：
Zhou, SF [1 ]
机构：
[1] Sichuan Union Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 01期
关键词：
Sine-Gordon equation; finite difference; global attractor; Hausdorff dimension;
D O I：
10.1016/S0893-9659(98)00132-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A more precise estimate on the dimension of the global attractor for discretization of damped sine-Gordon equation with the periodic boundary condition is obtained. The gained Hausdorff dimension remains small for large damping and is independent of the mesh sizes. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：95 / 100
页数：6
相关论文
共 50 条
  • [21] The sine-Gordon equation in the finite line
    Ramos, JI
    APPLIED MATHEMATICS AND COMPUTATION, 2001, 124 (01) : 45 - 93
  • [22] Weingarten surfaces and sine-Gordon equation
    Chen, WH
    Li, HZ
    SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1997, 40 (10): : 1028 - 1035
  • [23] Identifiability for Linearized Sine-Gordon Equation
    Ha, J.
    Gutman, S.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2013, 8 (01) : 106 - 121
  • [24] Weingarten surfaces and sine-Gordon equation
    陈维桓
    李海中
    Science China Mathematics, 1997, (10) : 1028 - 1035
  • [25] Generalized solution of Sine-Gordon equation
    Chadli, Lalla Saadia
    Melliani, Said
    Moujahid, Abdelaziz
    Elomari, M'hamed
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 87 - 92
  • [26] On a New Avatar of the Sine-Gordon Equation
    Sakovich, S. Yu
    NONLINEAR PHENOMENA IN COMPLEX SYSTEMS, 2018, 21 (01): : 62 - 68
  • [27] Weingarten surfaces and sine-Gordon equation
    Weihuan Chen
    Haizhong Li
    Science in China Series A: Mathematics, 1997, 40 : 1028 - 1035
  • [28] Analytical solution to sine-Gordon equation
    Eleuch, H.
    Rostovtsev, Y. V.
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (09)
  • [29] Conservation laws in sine-Gordon equation
    Shi, LN
    Cai, H
    Li, CF
    Huang, NN
    CHINESE PHYSICS LETTERS, 2003, 20 (07) : 1003 - 1005
  • [30] Attractors for a damped stochastic wave equation of Sine-Gordon type with sublinear multiplicative noise
    Fan, Xiaoming
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2006, 24 (04) : 767 - 793
12345