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On generalized Benjamin type equations

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  • We establish local and global well-posedness for the initial value problem associated to the generalized Benjamin equation and generalizations of this in the energy space. We also studied the limit process of solutions when the surface tension is becoming small. To establish these results we make use of sharp theory developed to the study of the generalized Korteweg-de Vries equation.
    Mathematics Subject Classification: 35Q53, 35Q51, 76B15.


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