کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842374 908530 2010 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Boussinesq/Full dispersion systems and Boussinesq/Boussinesq systems for internal waves
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On the Boussinesq/Full dispersion systems and Boussinesq/Boussinesq systems for internal waves
چکیده انگلیسی

In this paper, we consider some asymptotic models for internal waves in the small amplitude/small amplitude regime, which were derived recently by Bona, Lannes and Saut. We first prove that the Boussinesq/Full dispersion systems and the Boussinesq/Boussinesq systems can be derived from the Full dispersion/Full dispersion systems. Then using a contraction-mapping argument and the energy method, we will prove that the derived systems that are linearly well-posed are in fact locally nonlinearly well-posed in suitable Sobolev classes. In particular, we improve and extend some known results on the well-posedness of Boussinesq systems for surface waves.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issue 1, 1 January 2010, Pages 409–429
نویسندگان
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