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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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