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- W760321196 abstract "We improve and simplify the minimization method for solitary waves in two cases: firstly, when the surface tension is weak (that is, the Bond number is $< 1/3$) and the depth is finite, and secondly, when the depth is infinite. In a previous work on the first case, minimizers were shown to exist for a sequence tending to $0$ of values of the horizontal impulse. The main difficulty is that strict subadditivity in the concentration-compactness method is unsettled. Here we observe in both examples that strict subadditivity nevertheless holds for a set of horizontal impulses of positive measure and the related propagation speeds are estimated from above." @default.
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- W760321196 date "2009-12-01" @default.
- W760321196 modified "2023-10-18" @default.
- W760321196 title "Gravity solitary waves by minimization: an uncountable family" @default.
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- W760321196 doi "https://doi.org/10.12775/tmna.2009.046" @default.
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