Well-posedness of the water-waves equations
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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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The water wave equations of ideal free–surface fluid mechanics are a fundamental model of open ocean movements with a surprisingly subtle well–posedness theory. In consequence of both theoretical and computational difficulties with the full water wave equations, various asymptotic approximations have been proposed, analysed and used in practical situations. In this essay, we establish the well–...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2005
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-05-00484-4