کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501713 | 1338779 | 2005 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Hele-Shaw problem with surface tension in a half-plane
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Hele-Shaw problem with surface tension in a half-plane The Hele-Shaw problem with surface tension in a half-plane](/preview/png/9501713.png)
چکیده انگلیسی
In this paper, we consider the Hele-Shaw problem in a 2-dimensional fluid domain Ωt which is constrained to a half-plane. The boundary of Ωt consist of two components: Î0t which lies on the boundary of the half-plane, and Ît which lies inside the half-plane. On Ît we impose the classical boundary conditions with surface tension, and on Î0t we prescribe the normal derivative of the fluid pressure. At the point where Î0t and Ît meet, there is an abrupt change in the boundary condition giving rise to a singularity in the fluid pressure. We prove that the problem has a unique solution with smooth free boundary Ît for some small time interval.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 216, Issue 2, 15 September 2005, Pages 439-469
Journal: Journal of Differential Equations - Volume 216, Issue 2, 15 September 2005, Pages 439-469
نویسندگان
Borys V. Bazaliy, Avner Friedman,