کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501619 | 1338760 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the L2 and L1 convergence rates of viscous solutions of the Keyfitz-Kranzer system with piecewise smooth and large BV data
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the L2 and L1 convergence rates of viscous solutions of the Keyfitz-Kranzer system with piecewise smooth and large BV data On the L2 and L1 convergence rates of viscous solutions of the Keyfitz-Kranzer system with piecewise smooth and large BV data](/preview/png/9501619.png)
چکیده انگلیسی
We study the zero-dissipation problem of the Keyfitz-Kranzer system in L2 and L1 spaces. When the solution of the inviscid problem is piecewise smooth and has finitely many noninteracting shocks with finite strength, there exists, for each ε (the viscosity), unique solution to the viscous problem with modified initial data and it converges to the given inviscid solution away from shock discontinuities as ε tends to zero. Convergence rates are given in terms of ε. The proof is given by a matched asymptotic analysis and a weighted elementary energy method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 211, Issue 2, 15 April 2005, Pages 382-406
Journal: Journal of Differential Equations - Volume 211, Issue 2, 15 April 2005, Pages 382-406
نویسندگان
Wang Huiying,