On the long-time behaviour of solutions to a conservation law with memory

被引：0
|
作者：
Feireisl, E
Petzeltova, H
机构：
[1] Institute of Mathematics, AVČR, 115 67 Praha 1
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1997年 / 20卷 / 07期
关键词：
D O I：
10.1002/(SICI)1099-1476(19970510)20:7<569::AID-MMA862>3.0.CO;2-M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that any solution of the scalar conservation law (u + k*u)(t) + sigma(u)(x) = 0 starting from spatially periodic initial datum stabilizes to its integral mean as time goes to infinity. No convexity or 'genuinely non-linear' like conditions are assumed concerning sigma. (C) 1997 by B. C. Teubner stuttgart-John Wiley & Sons Ltd.
引用
收藏
页码：569 / 581
页数：13
相关论文
共 50 条
  • [31] Spreading in media with long-time memory
    Grassberger, P
    Chate, H
    Rousseau, G
    PHYSICAL REVIEW E, 1997, 55 (03): : 2488 - 2495
  • [32] On the long-time persistence of hydrodynamic memory
    Villegas Diaz, Miguel
    EUROPEAN PHYSICAL JOURNAL E, 2021, 44 (11):
  • [33] On the long-time persistence of hydrodynamic memory
    Miguel Villegas Díaz
    The European Physical Journal E, 2021, 44
  • [34] On long-time behaviour of solutions of linear Schrodinger equations with smooth time-dependent potential
    Bourgain, J
    GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS, 2003, 1807 : 99 - 113
  • [35] LONG-TIME BEHAVIOR IN SCALAR CONSERVATION LAWS
    Debussche, Arnaud
    Vovelle, J.
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (3-4) : 225 - 238
  • [36] Long-time solutions of the ostrovsky equation
    Grimshaw, Roger
    Helfrich, Karl
    STUDIES IN APPLIED MATHEMATICS, 2008, 121 (01) : 71 - 88
  • [37] Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity
    Bonetti, Elena
    Colli, Pierluigi
    Fabrizo, Mauro
    Gilardi, Gianni
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (05): : 1001 - 1026
  • [38] Long-time behaviour of spin coherences in solids
    Ding, SW
    McDowell, CA
    JOURNAL OF PHYSICS-CONDENSED MATTER, 1999, 11 (20) : L199 - L204
  • [39] The stability and convergence of computing long-time behaviour
    Wu, HJ
    Li, RH
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 17 (04) : 397 - 418
  • [40] On the Long-time Behaviour of the Quasilinear Parabolic Equation
    Geredeli, P. G.
    Khanmamedov, A. Kh.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1987 - 1990
12345