کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900805 | 1631721 | 2018 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dead-core rate for the fast diffusion equation with strong absorption in higher dimensional cases
ترجمه فارسی عنوان
نرخ مرده-هسته برای معادله انتشار سریع با جذب قوی در موارد با ابعاد بالاتر
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
This paper deals with the dead-core rate for the fast diffusion equation with a strong absorption in several space dimensions
ut=Îumâup,(x,t)âΩÃ(0,â),where 0â¯<â¯pâ¯<â¯mâ¯<â¯1 and Ω=B(0,1)={xâRN:|x|<1} with Nâ¯â¥â¯1. By using the self-similar transformation technique and the Zelenyak method, in higher dimensional radially symmetric cases, we prove that the dead-core rate is not self-similar. Moreover, we also give the precise estimates on the single-point final dead-core profile. Finally, when the absorption term âup is replaced by âa(x,t)up, then we derive that the dead-core rate can turn into the corresponding ODE rate if the coefficient function a(x, t) is a suitable uniformly bounded positive function, which implies that a(x, t) plays an important role in the study of the dead-core rate. The main aim of this paper is to extend the results obtained by Guo et al. (2010) to the higher dimensional radially symmetric case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 335, 15 October 2018, Pages 292-304
Journal: Applied Mathematics and Computation - Volume 335, 15 October 2018, Pages 292-304
نویسندگان
Pan Zheng, Chunlai Mu, Xuegang Hu,