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Attractor for the Non-autonomous long wave-short wave resonance interaction equation with damping
Jie Xin,Ranran Liu,Hui Liu
Keywords:Long wave-short wave resonance interaction equation; Well-posedness; A priori estimates; Attractor
Abstract:
      In this paper, the long wave-short wave resonance interaction equation with a nonlinear term in bounded domain was studied. When $\beta\geq\frac{3}{2}$, we obtained the existence and uniqueness of the weak solution of system (\ref{1})-(\ref{4}) by Gal\"{e}rkin"s method, and further proved the existence of the compact uniform attractor for damped driven by the non-autonomous long wave-short wave resonance interaction equation.