کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609385 | 1631512 | 2016 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Well-posedness of the Fornberg–Whitham equation on the circle
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Well-posedness of the Fornberg–Whitham equation on the circle Well-posedness of the Fornberg–Whitham equation on the circle](/preview/png/4609385.png)
چکیده انگلیسی
In this paper, we show that the Fornberg–Whitham equation is Well-posed in Sobolev spaces HsHs, for s>3/2s>3/2, and in the periodic case. We then show that the Well-posedness is sharp in the sense that the continuity of the data-to-solution map is not better than continuous by using the method of approximate solutions. However, we also show that the solution map is Hölder continuous in a weaker topology. These results are based on the Well-posedness result, as well as the solution size and lifespan estimates.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 12, 15 June 2016, Pages 8530–8549
Journal: Journal of Differential Equations - Volume 260, Issue 12, 15 June 2016, Pages 8530–8549
نویسندگان
John M. Holmes,