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Asymptotic behavior of solutions to the quasilinear wave equation

Part of the Lecture Notes in Mathematics book series (LNM,volume 446)

Keywords

  • Wave Equation
  • Rarefaction Wave
  • Riemann Problem
  • Simple Wave
  • Forward Wave

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References

  1. GREENBERG, J. M., On the interaction of shocks and simple waves of the same family, Arch. Rational Mech. Anal. 37 (1970), 136–160.

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  2. GREENBERG, J. M., On the interaction of shocks and simple waves of the same family, II, Arch. Rational Mech. Anal. 51 (1973), 209–217.

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  3. GLIMM, J., Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 18 (1975), 697–715.

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  4. GREENBERG, J. M., Estimates for fully developed shock solutions to the equation ∂u/∂t − ∂v/∂x=0 and ∂v/∂t − ∂σ(u)/∂x=0, Indiana Univ. Math. Jour. 22 (1973), 989–1003.

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  5. DIPERNA, R. J., Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservations laws, to appear.

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© 1975 Springer-Verlag

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Greenberg, J.M. (1975). Asymptotic behavior of solutions to the quasilinear wave equation. In: Goldstein, J.A. (eds) Partial Differential Equations and Related Topics. Lecture Notes in Mathematics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070604

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  • DOI: https://doi.org/10.1007/BFb0070604

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07148-8

  • Online ISBN: 978-3-540-37440-4

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