• Title of article

    Global existence and attractors for the two-dimensional Burgers-Ginzburg-Landau equations

  • Author/Authors

    Guo ، Changhong - Guangdong University of Technology , Fang ، Shaomei - South China Agricultural University

  • Pages
    13
  • From page
    3123
  • To page
    3135
  • Abstract
    This paper investigates the periodic initial value problem for the two-dimensional Burgers-Ginzburg-Landau (2D Burgers-GL) equations, which can be derived from the so-called modulated modulation equations (MME) that govern the dynamics of the modulated amplitudes of some periodic critical modes. The well-posedness of the solutions and the global attractors for the 2D Burgers-GL equations are obtained via delicate a priori estimates, the Galerkin method, and operator semigroup method.
  • Keywords
    2D Burgers , GL equations , well , posedness , global attractors , a priori estimates
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2017
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2476634