کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9500077 | 1337469 | 2005 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the three-dimensional Euler equations with a free boundary subject to surface tension
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the three-dimensional Euler equations with a free boundary subject to surface tension On the three-dimensional Euler equations with a free boundary subject to surface tension](/preview/png/9500077.png)
چکیده انگلیسی
We study an incompressible ideal fluid with a free surface that is subject to surface tension; it is not assumed that the fluid is irrotational. We derive a priori estimates for smooth solutions and prove a short-time existence result. The bounds are obtained by combining estimates of energy type with estimates of vorticity type and rely on a careful study of the regularity properties of the pressure function. An adequate artificial coordinate system is used instead of the standard Lagrangian coordinates. Under an assumption on the vorticity, a solution to the Euler equations is obtained as a vanishing viscosity limit of solutions to appropriate Navier-Stokes systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 22, Issue 6, NovemberâDecember 2005, Pages 753-781
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 22, Issue 6, NovemberâDecember 2005, Pages 753-781
نویسندگان
Ben Schweizer,