کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591342 | 1335024 | 2012 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the blow-up structure for the generalized periodic Camassa–Holm and Degasperis–Procesi equations
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Considered herein are the generalized Camassa–Holm and Degasperis–Procesi equations in the spatially periodic setting. The precise blow-up scenarios of strong solutions are derived for both of equations. Several conditions on the initial data guaranteeing the development of singularities in finite time for strong solutions of these two equations are established. The exact blow-up rates are also determined. Finally, geometric descriptions of these two integrable equations from non-stretching invariant curve flows in centro-equiaffine geometries, pseudo-spherical surfaces and affine surfaces are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 262, Issue 7, 1 April 2012, Pages 3125-3158
Journal: Journal of Functional Analysis - Volume 262, Issue 7, 1 April 2012, Pages 3125-3158