具有边界条件的单个守恒律的连续弱熵解的结构
摘要
文章分析了具有有限个间断点的分段初始值和常数边界值的单个守恒律问题,研究了弱熵解的结构与边界的相互作用,以澄清弱熵解在边界附近的性态。
出处
《内江科技》
2008年第12期53-53,74,共2页
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
-
1李杰民,吴银华.带边界条件的单个守恒律的连续弱熵解[J].湛江师范学院学报,2007,28(6):32-35.
-
2刘红霞,潘涛.POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY[J].Acta Mathematica Scientia,2009,29(1):111-128. 被引量:3
-
3李杰民,杨小辉.单个守恒律初边值问题粘性逼近解的收敛率[J].西南民族大学学报(自然科学版),2008,34(2):264-269.
-
4吴维.带边界条件的单个守恒律的整体弱熵解的结构[J].黑龙江科技信息,2008(36):248-248.
-
5杨小辉.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[J].湖南理工学院学报(自然科学版),2009,22(1):9-11. 被引量:1
-
6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
-
7阚辉,杨小舟.一类二维守恒律方程的初边值问题[J].应用数学学报,2019,42(6):793-812.
-
8Yihong Dai,Jing Zhang.Construction of Global Weak Entropy Solution of Initial-Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux[J].American Journal of Computational Mathematics,2017,7(4):451-468.
-
9Xiaoqian Li,Jing Zhang.Global Solution of a Nonlinear Conservation Law with Weak Discontinuous Flux in the Half Space[J].American Journal of Computational Mathematics,2018,8(4):326-342.
-
1李杰民,吴银华.带边界条件的单个守恒律的连续弱熵解[J].湛江师范学院学报,2007,28(6):32-35.
-
2吴维.带边界条件的单个守恒律的整体弱熵解的结构[J].黑龙江科技信息,2008(36):248-248.
-
3李杰民,杨小辉.单个守恒律初边值问题粘性逼近解的收敛率[J].西南民族大学学报(自然科学版),2008,34(2):264-269.
-
4李杰民.一端有界的单个守恒律的连续弱熵解[J].佳木斯大学学报(自然科学版),2008,26(3):386-388.
-
5崔慧萍.初边值条件下非凸单个守恒律弱熵解的研究[J].西南民族大学学报(自然科学版),2006,32(6):1096-1101.
-
6唐云良,盛万成.用WENO方法求解双曲型守恒律方程组的初(边)值问题[J].应用数学与计算数学学报,2008,22(2):85-92. 被引量:1
-
7李杰民.有限区间上单个守恒律整体弱熵解研究[J].怀化学院学报,2007,26(5):5-10.
-
8崔慧萍,刘红霞.具有非凸条件的单个守恒律初边值问题整体弱熵解的结构[J].暨南大学学报(自然科学与医学版),2007,28(1):10-14.
-
9崔慧萍,刘红霞.具有边界条件的非凸单个守恒律整体弱熵解的结构[J].暨南大学学报(自然科学与医学版),2005,26(3):291-297. 被引量:1
-
10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