کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1895681 | 1533758 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Formation and propagation of singularities in one-dimensional Chaplygin gas
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we investigate the formation and propagation of singularities for the system for one-dimensional Chaplygin gas, which is described by a quasilinear hyperbolic system with linearly degenerate characteristic fields. The phenomena of concentration and the formation of “δδ-shock” waves are identified and analyzed systematically for this system under suitably large initial data. In contrast to the Rankine–Hugoniot conditions for classical shock, the generalized Rankine–Hugoniot conditions for “δδ-shock” waves are established. Finally, it is shown that the total mass and momentum related to the solution are independent of time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 80, June 2014, Pages 58–70
Journal: Journal of Geometry and Physics - Volume 80, June 2014, Pages 58–70
نویسندگان
De-Xing Kong, Changhua Wei,