TY - JOUR
T1 - Attractors for the Long-short Wave Equations
JO - Journal of Partial Differential Equations
VL - 4
SP - 361
EP - 383
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5576.html
KW - Global attractor
KW - zero order dissipation
KW - long-short wave equations
AB -  In the present paper, we study the long time behaviour of solutions for the long-short wave equations with zero order dissipation. We first construct the global weak attractor for this system in H²_{per} × H¹_{per}. And then by exact analysis of two energy equations, we show that the global weak at attractor is actually the global strong attractor in H²_{per}.