کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417091 | 1338528 | 2015 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Study of a family of higher order nonlocal degenerate parabolic equations: From the porous medium equation to the thin film equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Study of a family of higher order nonlocal degenerate parabolic equations: From the porous medium equation to the thin film equation Study of a family of higher order nonlocal degenerate parabolic equations: From the porous medium equation to the thin film equation](/preview/png/6417091.png)
چکیده انگلیسی
In this paper, we study a nonlocal degenerate parabolic equation of order α+2 for αâ(0,2). The equation is a generalization of the one arising in the modeling of hydraulic fractures studied by Imbert and Mellet in 2011. Using the same approach, we prove the existence of solutions for this equation for 0<α<2 and for nonnegative initial data satisfying appropriate assumptions. The main difference is the compactness results due to different Sobolev embeddings. Furthermore, for α>1, we construct a nonnegative solution for nonnegative initial data under weaker assumptions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 5782-5812
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 5782-5812
نویسندگان
Rana Tarhini,