کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775262 | 1413579 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Well-posedness of a nonlinear boundary value problem for the Korteweg-de Vries equation on a bounded domain
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Well-posedness of a nonlinear boundary value problem for the Korteweg-de Vries equation on a bounded domain Well-posedness of a nonlinear boundary value problem for the Korteweg-de Vries equation on a bounded domain](/preview/png/5775262.png)
چکیده انگلیسی
Considered in this article is an initial-boundary-value problem (IBVP) for the Korteweg-de Vries equationut+ux+uux+uxxx=0 posed on a finite interval I=(0,L) subject to the initial conditionu(x,0)=Ï(x)forxâ(0,L) and the nonhomogeneous nonlinear boundary conditionsuxx(0,t)+u(0,t)â16u2(0,t)=h(t),u(L,t)=0,ux(L,t)=0fortâ¥0, which was derived by Rosier [37] as a model to investigate the motion of water waves in a long canal with a moving boundary at the left of the canal (wavemaker) and a fixed boundary at the right by using Lagrangian coordinates. It is shown here, aided by the hidden regularities (or sharp Kato smoothing properties) of the associated linear problem, that the IBVP is well-posed in the space Hs(0,L) for any sâ¥0 and thus addresses a question left open by Rosier in [37].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 448, Issue 2, 15 April 2017, Pages 797-814
Journal: Journal of Mathematical Analysis and Applications - Volume 448, Issue 2, 15 April 2017, Pages 797-814
نویسندگان
Miguel Andres Caicedo, Bing-Yu Zhang,