A sharp decay estimate for positive nonlinear waves

被引：14
|
作者：
Bressan, A
Yang, T
机构：
[1] SISSA, I-34014 Trieste, Italy
[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2004年 / 36卷 / 02期
关键词：
hyperbolic conservation laws; positive nonlinear waves; Burgers's equation;
D O I：
10.1137/S0036141003427774
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy weak solution. The result is stated in terms of a partial ordering among positive measures, using symmetric rearrangements and a comparison with a solution of Burgers's equation with impulsive sources.
引用
收藏
页码：659 / 677
页数：19
相关论文
共 50 条
  • [41] SHARP ESTIMATE OF THE SPREADING SPEED DETERMINED BY NONLINEAR FREE BOUNDARY PROBLEMS
    Du, Yihong
    Matsuzawa, Hiroshi
    Zhou, Maolin
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (01) : 375 - 396
  • [42] POSITIVE ROLANDIC SHARP WAVES IN THE EEG OF THE PREMATURE-INFANT
    NOVOTNY, EJ
    THARP, BR
    COEN, RW
    BEJAR, R
    ENZMANN, D
    VAUCHER, YE
    NEUROLOGY, 1987, 37 (09) : 1481 - 1486
  • [43] THE SIGNIFICANCE OF POSITIVE SHARP WAVES IN THE ELECTROENCEPHALOGRAM OF PREMATURE-INFANTS
    NOVOTNY, EJ
    THARP, BR
    ENZMANN, DR
    COEN, R
    BEJAR, R
    NEUROLOGY, 1986, 36 (04) : 279 - 279
  • [44] POSITIVE ROLANDIC SHARP WAVES IN NEONATAL EEG - TYPES AND SIGNIFICANCE
    BLUME, WT
    DREYFUSBRISAC, C
    ELECTROENCEPHALOGRAPHY AND CLINICAL NEUROPHYSIOLOGY, 1982, 53 (03): : 277 - 282
  • [45] The significance of positive temporal and central sharp waves in neonatal EEG
    Wassmer, E
    Hunjan, A
    Satodia, P
    Moore, A
    Cortez, M
    EPILEPSIA, 2004, 45 : 254 - 254
  • [46] NONLINEAR DAMPING OF ELECTRON PLASMA WAVES BY INDUCED DECAY INTO ION WAVES
    FRANKLIN, RN
    HAMBERGER, SM
    LAMPIS, G
    SMITH, GJ
    PHYSICAL REVIEW LETTERS, 1971, 27 (17) : 1119 - +
  • [47] Energy decay estimate for a power system model with nonlinear feedback
    Khapalov, A. Y.
    Nag, P.
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (02): : 213 - 228
  • [48] Decay Estimate of Global Solution for some Nonlinear Wave Equation
    Wang, Fen
    Zhou, Hao
    Shangguan, Min-le
    2015 2ND INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING ICISCE 2015, 2015, : 690 - 692
  • [49] Nonlinear decay of electromagnetic ion cyclotron waves in the magnetosphere
    J G R J Geophys Res, 2 (1871):
  • [50] Nonlinear decay of random waves described by an integrodifferential equation
    Gurbatov, Sergey N.
    Rudenko, Oleg V.
    PHYSICAL REVIEW E, 2014, 90 (03)
12345