کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7222480 | 1470412 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Non-uniform continuity of the flow map for an evolution equation modeling shallow water waves of moderate amplitude
ترجمه فارسی عنوان
تداوم یکنواخت نقشه جریان برای یک معادله تکاملی مدل سازی امواج آب کم عمق دامنه متوسط
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
چکیده انگلیسی
We prove that the flow map associated to a model equation for surface waves of moderate amplitude in shallow water is not uniformly continuous in the Sobolev space Hs with s>3/2. The main idea is to consider two suitable sequences of smooth initial data whose difference converges to zero in Hs, but such that neither of them is convergent. Our main theorem shows that the exact solutions corresponding to these sequences of data are uniformly bounded in Hs on a uniform existence interval, but the difference of the two solution sequences is bounded away from zero in Hs at any positive time in this interval. The result is obtained by approximating the solutions corresponding to these initial data by explicit formulae and by estimating the approximation error in suitable Sobolev norms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 17, June 2014, Pages 322-331
Journal: Nonlinear Analysis: Real World Applications - Volume 17, June 2014, Pages 322-331
نویسندگان
Nilay Duruk MutlubaÅ, Anna Geyer, Bogdan-Vasile Matioc,