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单个守恒律初边值问题的连续弱熵解的粘性逼近解的L^1收敛率 被引量：1

The L^1 Convergence Rate of the Continuous Weak Entropy Solution of Its Viscosity Approximations for the Initial-Boundary Problem of Scalar Conservation Laws
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摘要 根据单个守恒律初边值问题的整体连续的弱熵解的结构,利用具有初边值条件的非齐次粘性方程的L1-稳定性引理导出其粘性解L1收敛到无粘解的一个收敛率. According to the structure of the global continuous weak entropy solution of the initial-boundary problem of scalar conservation laws, and using L^1 -stability lemma for nonhomogeneous viscous equations with initial-boundary conditions, This thesis attain a convergence rate that the viscosity solution converge to the inviscid solution in L^1 -norm.
作者 杨小辉
机构地区 广东警官学院计算机系
出处 《湖南理工学院学报（自然科学版）》 CAS 2009年第1期9-11,15,共4页 Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金 国家自然科学基金资助项目(10571075)
关键词 单个凸守恒律初边值问题 整体连续的弱熵解 粘性逼近解 L1收敛率 the initial-boundary problem of scalar convex conservation laws global continuous weak entropy solution viscosity approximations L^1 convergence rate
分类号 O175.2 [理学—基础数学]
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二级参考文献47

  • 1Tang, T., Teng, Z. H.: The sharpness of Kuznetsov's O(√△x) L^1-error estimate for monotone difference schemes. Math. Comp., 64, 581-589 (1995)
  • 2Sabac, F., The optimal convergence rate of monotone finite differential methods for hyperbolic conservation laws. SIAM J. Numer. Anal., 34, 2306-2318 (1997)
  • 3Bustos, M. C., Concha, F., Wendland, W. L.: Global weak solution to the problem of continuous sedimentation of an ideal suspension. Math. Meth. Appl. Sci., 13, 1-22 (1990)
  • 4Bustos, M. C., Paiva, F., Wendland, W. L.: Control of continuous sedimentation of an ideal suspension as an initial and boundary value problem. Math. Meth. Appl. Sci., 12, 533-548 (1990)
  • 5Bustos, M. C., Paiva, F., Wendland, W. L.: Entropy boundary condition in the theory of sedimentation of ideal suspension. Math. Meth. Appl. Sci., 19, 679-697 (1996)
  • 6Richards, P. I.: Shock waves on highways. Oper. Res., 4, 42-51 (1956)
  • 7Whitham, G. B.: Linear and nonlinear waves, Wiley-Interscience, New York, 1974
  • 8Bardos, C., Leroux, A. Y., Nedelec, J. C.: First order quasilinear equations with boundary conditions.Comm. Part. Diff. Eqs., 4, 1017-1034 (1979)
  • 9Kruzkov, S. N.: First order quasilinear equations in several independent variables. Math. USSR Sb., 10,217-243 (1970)
  • 10Diperna, R.: Convergence of approximate solutions of conservation laws. Arch. Rat. Mech. Anal., 82,27-70 (1983)

共引文献9

同被引文献9

  • 1Bustos MC,Concha F,Wendland WL.Global weak solution to the problem of continuous sedimentation of an ideal suspension. Mathematical Methods in the Applied Sciences . 1990
  • 2Bardos C,Leroux AY,Nedelec JC.First order quasilinear equations with boundary conditions. Communications in Partial Differential Equations . 1979
  • 3Bustos M C,Paiva F and Wendland W L.Control of continuous sedimentation of an ideal suspension as an initial and boundary value problem. Math. Methods in the Appl. Sci . 1990
  • 4Pan,T,Lin,L.W.The global solution of the scalar nonconvex conservation law with boundary condition Ⅰ;Ⅱ. J.Partial Diff.Eqs . (1995),(1998)
  • 5Tadmor,E.Local error estimates for discontinuous solutions of nonlinear hyperbolic equations. SIAM Journal on Numerical Analysis . 1991
  • 6Tadmor, E,and Tang, T.Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. SIAM Journal on Numerical Analysis . 1999
  • 7Nessyahu H and Tassa T.Convergence rate of approximate solutions to conservation laws with initial rarefactions. SIAM Journal on Numerical Analysis . 1994
  • 8杨小辉.单个守恒律初边值问题的连续弱熵解[J].暨南大学学报（自然科学与医学版）,2009,30(3):250-254. 被引量：1
  • 9刘红霞,霍平.单个守恒律初边值问题粘性消失法的L^1-误差估计[J].暨南大学学报（自然科学与医学版）,2002,23(1):15-23. 被引量：2

引证文献1

湖南理工学院学报（自然科学版）
2009年 第1期

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