دانلود کتاب A Bifurcation Theory for Three-Dimensional Oblique Travelling Gravity-Capillary Water Waves

Name: A Bifurcation Theory for Three-Dimensional Oblique Travelling Gravity-Capillary Water Waves
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Author: Groves M.D.

by Groves M.D., Haragus M.

عنوان فارسی: نظریه تقسیم بدو شاخه برای سه بعدی مایل سفر امواج گرانش-مویرگی آب
سال: 2003
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 51-51
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 2.00 مگابایت

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This article presents a rigorous existence theory for small-amplitude threedimensional travelling water waves. The hydrodynamic problem is formulated as an infinite-dimensional Hamiltonian system in which an arbitrary horizontal spatial direction is the timelike variable. Wave motions that are periodic in a second, different horizontal direction are detected using a centre-manifold reduction technique by which the problem is reduced to a locally equivalent Hamiltonian system with a finite number of degrees of freedom.