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On the long-term dynamics of solutions of water wave models

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On the long-term dynamics of solutions of water wave models
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16
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23
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will discuss some recent work on two main questions: the existence of long-term solutions in certain water wave models, and the dynamical formation of singularities. The talk will be based on recent work with several collaborators, F. Pusateri, B. Pausader, Y. Deng, V. Lie, and C. Fefferman.