Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and Sine-Gordon type

被引：6
|
作者：
Marcati, P [1 ]
Natalini, R
机构：
[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy
[2] Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy
来源：
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 1998年 / 50卷 / 02期
关键词：
Klein-Gordon and Sine-Gordon equations; hyperbolic nonhomogeneous systems; shock waves; fractional step approximation; compensated compactness;
D O I：
10.2969/jmsj/05020433
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：433 / 449
页数：17
相关论文
共 50 条
  • [21] Solitary wave solutions of nonlocal sine-Gordon equations
    Alfimov, GL
    Eleonsky, VM
    Lerman, LM
    CHAOS, 1998, 8 (01) : 257 - 271
  • [22] GLOBAL SOLUTION OF THE SYSTEM OF WAVE AND KLEIN-GORDON EQUATIONS
    GEORGIEV, V
    MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (04) : 683 - 698
  • [23] Non Global Solutions For a Class of Klein-Gordon Equations
    Saanouni, T.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2021, 11 (02): : 39 - 47
  • [24] The numerical solution of the nonlinear Klein-Gordon and Sine-Gordon equations using the Chebyshev tau meshless method
    Shao, Wenting
    Wu, Xionghua
    COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (05) : 1399 - 1409
  • [25] An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
    Dehghan, Mehdi
    Abbaszadeh, Mostafa
    Mohebbi, Akbar
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 50 : 412 - 434
  • [26] An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations
    Chang, Chih-Wen
    Liu, Chein-Shan
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (02) : 1157 - 1167
  • [27] Blow-up and global existence of a weak solution for a sine-Gordon type quasilinear wave equation.
    Dias, JP
    Figueira, M
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2000, 3B (03): : 739 - 750
  • [28] Solutions of the hyperholic Sine-Gordon equations
    Hoenselaers, C.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2007, 46 (05) : 1096 - 1099
  • [29] Solutions of the perturbed Klein-Gordon equations
    Biswas, A.
    Ebadi, G.
    Fessak, M.
    Johnpillai, A. G.
    Johnson, S.
    Krishnan, E. V.
    Yildirim, A.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2012, 36 (A4): : 431 - 452
  • [30] Traveling Wave Solutions of the Sine-Gordon and the Coupled Sine-Gordon Equations Using the Homotopy-Perturbation Method
    Sadighi, A.
    Ganji, D. D.
    Ganjavi, B.
    SCIENTIA IRANICA TRANSACTION B-MECHANICAL ENGINEERING, 2009, 16 (02): : 189 - 195
12345