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Volume 10, Number 3, 2020, Pages 1149-1169                                                                DOI:10.11948/20190246
Attractor for the non-autonomous long wave-short wave resonance interaction equation with damping
Ranran Liu,Hui Liu,Jie Xin
Keywords:Long wave-short wave resonance interaction equation, a priori estimates, well-posedness, 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 (1.1)-(1.4) 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.
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