Late-time attractor for the cubic nonlinear wave equation

被引：0
|
作者：
Szpak, Nikodem [1 ]
机构：
[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 08期
关键词：
3 SPACE DIMENSIONS; INITIAL DATA; BLOW-UP;
D O I：
10.1063/1.3470957
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic nonlinear wave equation and explain the appearance and approach to the two-parameter attractor found recently by Bizon and Zenginoglu. (C) 2010 American Institute of Physics. [doi:10.1063/1.3470957]
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
    Angelopoulos, Y.
    Aretakis, S.
    Gajic, D.
    ADVANCES IN MATHEMATICS, 2018, 323 : 529 - 621
  • [2] Late-time asymptotics for the wave equation on extremal Reissner-Nordstrom backgrounds
    Angelopoulos, Y.
    Aretakis, S.
    Gajic, D.
    ADVANCES IN MATHEMATICS, 2020, 375
  • [3] Late-time acceleration in the coupled cubic Galileon models
    Kim, Kyoung Yee
    Lee, Hyung Won
    Myung, Yun Soo
    PHYSICAL REVIEW D, 2013, 88 (12):
  • [4] On the dimension of the attractor for the wave equation with nonlinear damping
    Prazak, D
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2005, 4 (01) : 165 - 174
  • [5] Late-time asymptotic solutions, attractor, and focusing behavior of spin hydrodynamics
    Wang, Dong-Lin
    Yan, Li
    Pu, Shi
    PHYSICAL REVIEW D, 2025, 111 (03)
  • [6] Late-time evolution of nonlinear gravitational collapse
    Burko, LM
    Ori, A
    PHYSICAL REVIEW D, 1997, 56 (12): : 7820 - 7832
  • [7] Attractor and dimension for strongly damped nonlinear wave equation
    Zhou Shengfan
    Acta Mathematicae Applicatae Sinica, 2000, 16 (3) : 266 - 273
  • [8] An attractor for a nonlinear dissipative wave equation of Kirchhoff type
    Nakao, Mitsuhiro
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (02) : 652 - 659
  • [9] ATTRACTOR AND DIMENSION FOR STRONGLY DAMPED NONLINEAR WAVE EQUATION
    周盛凡
    Acta Mathematicae Applicatae Sinica(English Series), 2000, (03) : 266 - 273
  • [10] Note on late-time tails of spherical nonlinear waves
    Bizon, Piotr
    Chmaj, Tadeusz
    Rostworowski, Andrzej
    PHYSICAL REVIEW D, 2008, 78 (02):
12345