Quadratic Life Span of Periodic Gravity-capillary Water Waves
نویسندگان
چکیده
منابع مشابه
Quasi-periodic standing wave solutions of gravity-capillary water waves
We prove the existence and the linear stability of Cantor families of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension.
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1.1 The hydrodynamic problem The classical water-wave problem concerns the irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The fluid motion is described by the Euler equations in a domain bounded below by a rigid horizontal bottom {y = −h} and above by a free surface which is described as a graph {y = η(x, z, t)}, where the function η d...
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The existence of solitary-wave solutions to the three-dimensional water-wave problem with strong surface-tension effects is predicted by the KP-I model equation. The term solitary wave describes any solution which has a pulse-like profile in its direction of propagation, and the KP-I equation admits explicit solutions for three different types of solitary wave. A line solitary wave is spatially...
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ژورنال
عنوان ژورنال: Water Waves
سال: 2020
ISSN: 2523-367X,2523-3688
DOI: 10.1007/s42286-020-00036-8