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On the one-dimensional Navier-Stokes equations for compressible fluids

  • Compressible Flows
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The Navier-Stokes Equations Theory and Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1431))

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References

  1. A. A. Amosov, A. A. Zlotnik, A difference scheme for the equations of one-dimensional motion of a viscous barotropic gas, its properties and “global” error estimates, Dokl. Akad. Nauk SSSR, 288 (1986), 270–275 [Russian] = Soviet Math. Dokl., 33 (1986), 633–638.

    MathSciNet  MATH  Google Scholar 

  2. H. Beirão da Veiga, An L p-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions, Commun. Math. Phys., 109 (1987), 229–248.

    Article  MATH  Google Scholar 

  3. H. Beirão da Veiga, Long time behavior for one dimensional motion of a general barotropic viscous fluid, submitted to Arch. Rational Mech. Anal..

    Google Scholar 

  4. H. Beirão da Veiga, The stability of one dimensional stationary flows of compressible viscous fluids, Ann. Inst. H. Poincaré. Anal. Non Linéaire, to appear.

    Google Scholar 

  5. Ya. I. Kanel', On a model system of equations of one-dimensional gas motion, Differ. Uravn., 4 (1968), 721–734 [Russian] = Differ. Equations, 4 (1968), 374–380.

    MathSciNet  Google Scholar 

  6. A. V. Kazhikhov, Correctness “in the large” of mixed boundary value problems for a model system of equations of a viscous gas, Din. Sploshnoj Sredy, 21 (1975), 18–47 [Russian].

    MathSciNet  Google Scholar 

  7. A. V. Kazhikhov, Stabilization of solutions of an initial-boundary-value problem for the equations of motion of a barotropic viscous fluid, Differ. Uravn., 15 (1979), 662–667 [Russian] = Differ. Equations, 15 (1979), 463–467.

    MathSciNet  MATH  Google Scholar 

  8. V. Lovicar, I. Straškraba, A. Valli, On bounded solutions of one-dimensional Navier-Stokes equations, to appear.

    Google Scholar 

  9. V. V. Shelukhin, Bounded, almost-periodic solutions of a viscous gas equation, Din. Sploshnoj Sredy, 44 (1980), 147–163 [Russian].

    MathSciNet  MATH  Google Scholar 

  10. I. Straškraba, A. Valli, Asymptotic behaviour of the density for one-dimensional Navier-Stokes equations, Manuscripta Math., 62 (1988), 401–416.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Trento, I- 38050, Povo(Trento)

    Alberto Valli

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  1. Alberto Valli
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John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

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© 1990 Springer-Verlag

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Valli, A. (1990). On the one-dimensional Navier-Stokes equations for compressible fluids. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086068

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  • DOI: https://doi.org/10.1007/BFb0086068

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52770-1

  • Online ISBN: 978-3-540-47141-7

  • eBook Packages: Springer Book Archive

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