کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609783 1338527 2014 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of capillary-gravity water waves with piecewise constant vorticity
ترجمه فارسی عنوان
وجود امواج آب گرم مویرگی با گردابه ثابت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper we construct small-amplitude periodic capillary-gravity water waves with a piecewise constant vorticity distribution. They describe water waves traveling on superposed linearly sheared currents that have different vorticities. This is achieved by associating to the height function formulation of the water wave problem a diffraction problem where we impose suitable transmission conditions on each line where the vorticity function has a jump. The solutions of the diffraction problem, found by using local bifurcation theory, are the desired solutions of the hydrodynamical problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 8, 15 April 2014, Pages 3086–3114
نویسندگان
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