Analyticity and Gevrey class regularity for a Kuramoto-Sivashinsky equation in space dimension two

被引:11
|
作者
Pinto, FC [1 ]
机构
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[2] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0893-9659(00)00145-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider here solutions to a Kuramoto-Sivashinsky equation in space dimension two. It is shown that these solutions are analytic in time with values in a Gevrey class of functions. Published by Elsevier Science Ltd.
引用
收藏
页码:253 / 260
页数:8
相关论文
共 50 条
  • [22] Bifurcation of two-dimensional Kuramoto-Sivashinsky equation
    Li C.P.
    Yang Z.H.
    Applied Mathematics-A Journal of Chinese Universities, 1998, 13 (3) : 263 - 270
  • [23] Analyticity for Kuramoto-Sivashinsky type equations and related systems
    Ioakim, Xenakis
    Smyrlis, Yiorgos-Sokratis
    IUTAM SYMPOSIUM ON NONLINEAR INTERFACIAL WAVE PHENOMENA FROM THE MICRO- TO THE MACRO-SCALE, 2014, 11 : 69 - 80
  • [24] ON THE CONTROL OF THE LINEAR KURAMOTO-SIVASHINSKY EQUATION
    Cerpa, Eduardo
    Guzman, Patricio
    Mercado, Alberto
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2017, 23 (01) : 165 - 194
  • [25] On the Global Existence for the Kuramoto-Sivashinsky Equation
    Kukavica, Igor
    Massatt, David
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (01) : 69 - 85
  • [26] Feedback control of the Kuramoto-Sivashinsky equation
    Christofides, PD
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 4646 - 4651
  • [27] OSCILLATIONS OF SOLUTIONS OF THE KURAMOTO-SIVASHINSKY EQUATION
    KUKAVICA, I
    PHYSICA D, 1994, 76 (04): : 369 - 374
  • [28] Dynamical correlations for the kuramoto-sivashinsky equation
    Kobayashi, Miki U.
    Fujisaka, Hirokazu
    PROGRESS OF THEORETICAL PHYSICS, 2007, 118 (06): : 1043 - 1052
  • [29] INERTIAL MANIFOLDS FOR THE KURAMOTO-SIVASHINSKY EQUATION
    FOIAS, C
    NICOLAENKO, B
    SELL, GR
    TEMAM, R
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 301 (06): : 285 - 288
  • [30] New bounds for the Kuramoto-Sivashinsky equation
    Giacomelli, L
    Otto, F
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2005, 58 (03) : 297 - 318