کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899838 | 1631551 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stationarity of the crack-front for the Mumford-Shah problem in 3D
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: Stationarity of the crack-front for the Mumford-Shah problem in 3D Stationarity of the crack-front for the Mumford-Shah problem in 3D](/preview/png/8899838.png)
چکیده انگلیسی
In this paper we exhibit a family of stationary solutions of the Mumford-Shah functional in R3, arbitrary close to a crack-front. Unlike other examples, known in the literature, those are topologically non-minimizing in the sense of Bonnet [4]. We also give a local version in a finite cylinder and prove an energy estimate for minimizers. Numerical illustrations indicate the stationary solutions are unlikely minimizers and show how the dependence on axial variable impacts the geometry of the discontinuity set. A self-contained proof of the stationarity of the cracktip function for the Mumford-Shah problem in 2D is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 2, 15 June 2018, Pages 1555-1569
Journal: Journal of Mathematical Analysis and Applications - Volume 462, Issue 2, 15 June 2018, Pages 1555-1569
نویسندگان
Antoine Lemenant, Hayk Mikayelyan,