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• W2743117581 abstract "We study the well‐posedness and dynamic behavior for the KdV‐Burgers equation with a force on R . We establish L p − L q estimates of the evolution , as an application we obtain the local well‐posedness. Then the global well‐posedness follows from a uniform estimate for solutions as t goes to infinity. Next, we prove the asymptotical regularity of solutions in space and by the smoothing effect of . The regularity and the asymptotical compactness in L 2 yields the asymptotical compactness in by an interpolation arguement. Finally, we conclude the existence of an globalattractor." @default.
• W2743117581 created "2017-08-17" @default.
• W2743117581 creator A5057036092 @default.
• W2743117581 creator A5071389166 @default.
• W2743117581 date "2017-08-07" @default.
• W2743117581 modified "2023-09-23" @default.
• W2743117581 title "Regular attractor for damped KdV-Burgers equations on<b>R</b>" @default.
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• W2743117581 doi "https://doi.org/10.1002/mma.4541" @default.
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