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Partial Differential Equations pp 131–140Cite as

Global perturbation of the riemann problem for the system of one-dimensional isentropic flow

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Part of the book series: Lecture Notes in Mathematics ((2803,volume 1306))

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References

  1. R. Courant and K.O.Friedrichs, Supersonic flow and shock waves, New York, 1948.

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  2. Gu Chao-hao, Li Ta-tsien and Hou Zong-Yi, The Cauchy problem of quasilinear hyperbolic systems with discontinuous initial values I, II and III (in Chinese), Acta Math. Sinica 4 (1961), 314–323, 324–327, and 2 (1962), 132–143.

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  3. Li Ta-tsien and Yu Wen-ci, Boundary value problems for quasilinear hyperbolic systems, Duke University Mathematics Series V, 1985.

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  4. P.D. Lax, Development of singularities of solutions of nonlinear hyperbolic partial differential equations, J. Math. Phys. 5 (1964), 611–613.

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  5. Lin Long-wei, On the vacuum state for the equations of isentropic gas dynamics (in chinese), Journal of Huachiao Univ. 2 (1984), 1–4.

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  6. Li Ta-tsien and Zhao Yan-chun, Vacuum problems for the system of one dimensional isentropic flow (in chinese), Chin. Quart. J. of Math. 1 (1986) 41–45.

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  7. Li Ta-tsien and Zhao Yan-chun, Globally defined classical solutions to free boundary problems with characteristic boundary for quasilinear hyperbolic sys tems, to appear in Chin. Ann. of Math.

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  8. Li Ta-tsien and Zhao Yan-chun, Global discontinuous solutions to a calss of discontinuous initial value problems for the system of isentropic flow and applications, to appear in Chin. Ann. of Math.

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  9. Li Ta-tsien and Zhao Yan-chun, Globally defined classical solutions to typical free boundary problems for quasilinear hyperbolic systems, to appear.

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Authors and Affiliations

  1. Fudan University, Shanghai, China

    Li Ta-tsien & Zhao Yan-chun

Authors
  1. Li Ta-tsien
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  2. Zhao Yan-chun
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Shiing-shen Chern

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© 1988 Springer-Verlag

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Ta-tsien, L., Yan-chun, Z. (1988). Global perturbation of the riemann problem for the system of one-dimensional isentropic flow. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082929

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  • DOI: https://doi.org/10.1007/BFb0082929

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19097-4

  • Online ISBN: 978-3-540-39107-4

  • eBook Packages: Springer Book Archive

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