کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843474 | 908556 | 2009 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence and asymptotic behavior of C1 solutions to the multi-dimensional compressible Euler equations with damping
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence and asymptotic behavior of C1 solutions to the multi-dimensional compressible Euler equations with damping Existence and asymptotic behavior of C1 solutions to the multi-dimensional compressible Euler equations with damping](/preview/png/843474.png)
چکیده انگلیسی
In this paper, the existence and asymptotic behavior of C1C1 solutions to the multi-dimensional compressible Euler equations with damping on the framework of Besov space are considered. Comparing with the well-posedness results of Sideris–Thomases–Wang [T. Sideris, B. Thomases, D.H. Wang, Long time behavior of solutions to the three-dimensional compressible Euler with damping, Comm. Partial Differential Equations 28 (2003) 953–978], we weaken the regularity assumptions on the initial data. The global existence lies on a crucial a-priori estimate which is obtained by the spectral localization method. The main analytic tools are the Littlewood–Paley decomposition and Bony’s paraproduct formula.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 1, 1 January 2009, Pages 244–261
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 1, 1 January 2009, Pages 244–261
نویسندگان
Daoyuan Fang, Jiang Xu,