ANALYTICITY FOR THE KURAMOTO-SIVASHINSKY EQUATION

被引：65
作者：
COLLET, P
ECKMANN, JP
EPSTEIN, H
STUBBE, J
机构：
[1] UNIV GENEVA,DEPT PHYS THEOR,CH-1211 GENEVA 4,SWITZERLAND
[2] UNIV GENEVA,MATH SECT,CH-1211 GENEVA 4,SWITZERLAND
[3] IHES,BURES SUR YVETTE,FRANCE
[4] CERN,CH-1211 GENEVA 23,SWITZERLAND
来源：
PHYSICA D | 1993年 / 67卷 / 04期
关键词：
D O I：
10.1016/0167-2789(93)90168-Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the analyticity properties of solutions of the Kuramoto-Sivashinsky equation partial derivative(t)U(x,t) = -(partial derivative(x)2 + partial derivative(x)4) U(x, t) - U(x, t) partial derivative(x)U(x, t), for initial data which are period which show that the solutions of the KS-equation are analytic in a strip around the real axis whose width is independent of L. A rigorous lower bound 0 (L-16/25) is given for this width.
引用
收藏
页码：321 / 326
页数：6
相关论文
共 10 条
  • [1] A GLOBAL ATTRACTING SET FOR THE KURAMOTO-SIVASHINSKY EQUATION
    COLLET, P
    ECKMANN, JP
    EPSTEIN, H
    STUBBE, J
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 152 (01) : 203 - 214
  • [2] GEVREY CLASS REGULARITY FOR THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
    FOIAS, C
    TEMAM, R
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (02) : 359 - 369
  • [3] GOODMAN J, IN PRESS COMMUN PURE
  • [4] Hairer E., 1991, SOLVING ORDINARY DIF, DOI [10.1007/978-3-662-09947-6, DOI 10.1007/978-3-662-09947-6]
  • [5] PROOF OF SCALE INVARIANT SOLUTIONS IN THE KARDAR-PARISI-ZHANG AND KURAMOTO-SIVASHINSKY EQUATIONS IN 1+1 DIMENSIONS - ANALYTICAL AND NUMERICAL RESULTS
    LVOV, VS
    LEBEDEV, VV
    PATON, M
    PROCACCIA, I
    [J]. NONLINEARITY, 1993, 6 (01) : 25 - 47
  • [6] MANNEVILLE P, 1985, LECTURE NOTES PHYSIC, V230
  • [7] MANNEVILLE P, 1991, STRUCTURES DISSIPATI
  • [8] SOME GLOBAL DYNAMICAL PROPERTIES OF THE KURAMOTO-SIVASHINSKY EQUATIONS - NONLINEAR STABILITY AND ATTRACTORS
    NICOLAENKO, B
    SCHEURER, B
    TEMAM, R
    [J]. PHYSICA D, 1985, 16 (02): : 155 - 183
  • [9] SURFACE ROUGHENING AND THE LONG-WAVELENGTH PROPERTIES OF THE KURAMOTO-SIVASHINSKY EQUATION
    PROCACCIA, I
    JENSEN, MH
    LVOV, VS
    SNEPPEN, K
    ZEITAK, R
    [J]. PHYSICAL REVIEW A, 1992, 46 (06): : 3220 - 3224
  • [10] YU S, 1992, J DYN DIFFER EQUATIO, P585
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