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Transonic gas flow in a duct of varying area

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References

  1. Courant, R., & K. O. Friedrichs, Supersonic Flow and Shock Waves. Interscience, New York, 1948, Chapter V.

    Google Scholar 

  2. Lax, P. D., Hyperbolic system of conservation laws, II, Comm. Pure Appl. Math. 10, 537–566 (1957).

    MATH  Google Scholar 

  3. Liu, T.-P., Shock waves in the nonisentropic gas flow, J. Diff. Eq. 22, 442–452 (1976).

    Google Scholar 

  4. Liu, T.-P., Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws, Comm. Pure Appl. Math. 30, 767–796 (1977).

    Google Scholar 

  5. Liu, T.-P., Quasilinear hyperbolic systems, Comm. Math. Phys., 68, 141–172 (1979).

    Google Scholar 

  6. Whitham, B., Linear and nonlinear waves. New York, John Wiley 1974.

    Google Scholar 

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Communicated by C. Dafermos

The research reported here was partially supported by the U.S. National Science Foundation and by the Sloan Foundation.

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Liu, TP. Transonic gas flow in a duct of varying area. Arch. Rational Mech. Anal. 80, 1–18 (1982). https://doi.org/10.1007/BF00251521

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  • DOI: https://doi.org/10.1007/BF00251521

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