کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898884 | 1631503 | 2018 | 39 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping
ترجمه فارسی عنوان
همگرایی امواج انتشار غیرخطی برای راه حل معادلات اویلر با مهار زمان
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper, we are concerned with the asymptotic behavior of solutions to the system of Euler equations with time-depending damping, in particular, include the constant coefficient damping. We rigorously prove that the solutions time-asymptotically converge to the diffusion wave whose profile is self-similar solution to the corresponding parabolic equation, which justifies Darcy's law. Compared with previous results about Euler equations with constant coefficient damping obtained by Hsiao and Liu (1992) [2], and Nishihara (1996) [9], we obtain a general result when the initial perturbation belongs to the same space, i.e. H3(R)ÃH2(R). Our proof is based on the classical energy method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 7, 5 April 2018, Pages 4564-4602
Journal: Journal of Differential Equations - Volume 264, Issue 7, 5 April 2018, Pages 4564-4602
نویسندگان
Haibo Cui, Haiyan Yin, Jinshun Zhang, Changjiang Zhu,