Fractional rate of convergence for viscous approximation to nonconvex conservation laws | |
Tang, T ; Teng, ZH ; Xin, ZP | |
2003 | |
关键词 | rate of convergence error estimate viscous approximation conservation law nonconvex flux PIECEWISE-SMOOTH SOLUTIONS ASYMPTOTIC STABILITY TRAVELING WAVES SHOCK-WAVES SYSTEMS CONVEXITY |
英文摘要 | This paper considers the viscous approximations to conservation laws with nonconvex flux function. It is shown that if the entropy solutions are piecewise smooth, then the rate of L-1-convergence is a fractional number in (0.5, 1]. This is in contrast to the corresponding result for the convex conservation laws. Numerical experiments indicate that the theoretical prediction for the convergence rate is optimal.; Mathematics, Applied; SCI(E); 7; ARTICLE; 1; 98-122; 35 |
语种 | 英语 |
出处 | SCI |
出版者 | siam journal on mathematical analysis |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/400993] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Tang, T,Teng, ZH,Xin, ZP. Fractional rate of convergence for viscous approximation to nonconvex conservation laws. 2003-01-01. |
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