کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8955688 1646101 2019 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On well-posedness of a dispersive system of the Whitham-Boussinesq type
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
On well-posedness of a dispersive system of the Whitham-Boussinesq type
چکیده انگلیسی
The initial-value problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system was recently introduced in Dinvay (2018). It is numerically shown to be stable and a good approximation to the incompressible Euler equations. Here we prove local in time well-posedness. Our proof relies on an energy method and a compactness argument. In addition some numerical experiments, supporting the validity of the system as an asymptotic model for water waves, are carried out.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 88, February 2019, Pages 13-20
نویسندگان
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