کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899452 | 1631545 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A dissipative hyperbolic affine curve flow
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A dissipative hyperbolic affine curve flow A dissipative hyperbolic affine curve flow](/preview/png/8899452.png)
چکیده انگلیسی
A new hyperbolic affine geometric flow with dissipative term is proposed. The equations satisfied by support functions and the graph of the curve under this dissipative flow give rise to fully nonlinear hyperbolic equations, we obtain the existence for local solutions of this flow by reducing the flow to a first-order system. The equations for both perimeter and area of closed curves under the flow are also obtained. Based on this, we show that for a closed curve, the solution of this flow converges to a point in finite time. Furthermore, by a method of LeFloch-Smocyk for studying the hyperbolic mean curvature flow, global existence of the solution is established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 2, 15 September 2018, Pages 1094-1111
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 2, 15 September 2018, Pages 1094-1111
نویسندگان
Zenggui Wang,