| 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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