کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839393 | 1470469 | 2016 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Cauchy problem and blow-up phenomena of a new integrable two-component Camassa–Holm system
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper considers the Cauchy problem and blow-up phenomena of a new integrable two-component Camassa–Holm system, which is a natural extension of the Fokas–Olver–Rosenau–Qiao equation. Firstly, the local well-posedness of the system in the critical Besov space B2,112(R)×B2,112(R) is investigated, and it is shown that the data-to-solution mapping is Hölder continuous. Then, a blow-up criteria for the Cauchy problem in the critical Besov space is derived. Moreover, with conditions on the initial data, a new blow-up criteria is obtained by virtue of the blow-up criteria at hand and the conservative property of mm and nn along the characteristics. Finally, a global existence result for the strong solution is established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 132, February 2016, Pages 25–46
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 132, February 2016, Pages 25–46
نویسندگان
Xiuting Li,