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New Structures for Global Solutions of Two Dimensional Simplified Euler Equations

New Structures for Global Solutions of Two Dimensional Simplified Euler Equations
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摘要 1 Introduction and Main Results Systems of two-dimensional (2D) hyperbolic conservation laws are more accurate modeling of many sophisticated physical phenomena. Although people have made great progress in one dimensional conservation laws, there are relatively fewer results[1] on 2D systems since many methods valid in one dimensional case can not be applied in 2D cases, 2D problems are still very difficult to be studied. 1 Introduction and Main Results Systems of two-dimensional (2D) hyperbolic conservation laws are more accurate modeling of many sophisticated physical phenomena. Although people have made great progress in one dimensional conservation laws.
作者 杨小舟
出处 《数学进展》 CSCD 北大核心 2005年第4期509-511,共3页 Advances in Mathematics(China)
基金 Supported by the National Natural Science Foundation of China(No. 10001023) Huo Yingdong Fellowship(81004)Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, Natural Science Foundation of Guangdong(No. 000804)Natural Science Foundation of Guangdong Education Bureau(No. 200030)
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  • 1Glimm J, Majda A J. Multidimensional Hyperbolic Problems and Computations [M]. IMA Volumes in Mathematics and its Applications, 29, Springer-Verlag, New York, 1991.
  • 2Lopes-filho M C, Nussenzveig lopes H J. Singularity formation for system of conservation laws in two space [J]. J. Math. Anal. Appl., 2000 (1996), 3: 538-547.
  • 3Tan D, Zhang T. Two-dimensional Riemann Problem for a Hyperbolic System of nonlinear conservation Laws, Ⅰ, Ⅱ [J]. J. Diff. Eqs., 1994, 111: 203-282.
  • 4Wang H. Non-uniqueness of the solution of 2-dimensional Riemann problem for aclas of quasilinear hyperbolic systems [J]. Acta Math. Sini.,1995, 38(1): 103-110.
  • 5Chen S X. Solution to M-D Riemann Problems for Quasilinear Hyperbolic Systems of Proportional Conservation Laws [M]. Nonlinear evolutionary partial differential equations, 157-173, AMS/IP Studies in Advanced. Mathematics, Vol.3, Amer. Math. Soc., Providence, RI, 1997.

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