Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello Article

Guo, Y, Simon, K, Titi, ES. (2015). Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello . COMMUNICATIONS IN MATHEMATICAL SCIENCES, 13(5), 1261-1288. 10.4310/CMS.2015.v13.n5.a9

cited authors

  • Guo, Y; Simon, K; Titi, ES

authors

abstract

  • This paper addresses the problem of global well-posedness of a coupled system of Korteweg-de Vries equations, derived by Majda and Biello in the context of nonlinear resonant interaction of Rossby waves, in a periodic setting in homogeneous Sobolev spaces H˙s, for s ≥0. Our approach is based on a successive time-averaging method developed by Babin, Ilyin and Titi [A.V. Babin, A.A. Ilyin and E.S. Titi, Commun. Pure Appl. Math., 64(5), 591-648, 2011].

publication date

  • January 1, 2015

published in

Digital Object Identifier (DOI)

start page

  • 1261

end page

  • 1288

volume

  • 13

issue

  • 5