A new highly nonlinear shallow water wave equation |
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Authors: | Ronald Quirchmayr |
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Institution: | 1.Faculty of Mathematics,University of Vienna,Vienna,Austria |
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Abstract: | We derive a quasilinear shallow water equation directly from the governing equations for gravity water waves within a certain regime for large-amplitude waves which has not been studied so far. Furthermore, we demonstrate local well-posedness of the corresponding Cauchy problem and finally discuss some aspects of the blowup behavior of solutions. |
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