کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610935 1338593 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Improved local well-posedness for the periodic “good” Boussinesq equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Improved local well-posedness for the periodic “good” Boussinesq equation
چکیده انگلیسی

We prove that the “good” Boussinesq model is locally well-posed in the space H−α×H−α−2, . In the proof, we employ the method of normal forms, which allows us to explicitly extract the rougher part of the solution, while we show that the remainder is in the smoother space C([0,T],Hβ(T)), . Thus, we establish a smoothing effect of order for the nonlinear evolution. This is new even in the previously considered cases .

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 254, Issue 10, 15 May 2013, Pages 4047-4065