The Linearized Equations of Water Waves
نویسندگان
چکیده
منابع مشابه
Well-posedness of the Water-waves Equations
1.1. Presentation of the problem. The water-waves problem for an ideal liquid consists of describing the motion of the free surface and the evolution of the velocity field of a layer of perfect, incompressible, irrotational fluid under the influence of gravity. In this paper, we restrict our attention to the case when the surface is a graph parameterized by a function ζ(t,X), where t denotes th...
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§ 1. Introduct ion In two earl ier papers , ci ted as I [1] and I I [2], it was shown how the H a m i l t o n fo rma l i sm can be used to ob ta in sat isfactory app rox ima te equat ions o f the Boussinesq type for fa i r ly long, fa i r ly low water waves. The ma in purpose was to find equat ions which are stable in the shortwave ta i l o f the wave spec t rum. The p rocedure used to arr ive ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1972
ISSN: 0022-2518
DOI: 10.1512/iumj.1973.22.22020