Astrophysics and Space Science

, Volume 153, Issue 1, pp 127–142 | Cite as

Acceleration waves, shock formation and stability in a gravitating atmosphere

  • Augusto Muracchini
  • Tommaso Ruggeri
Article

Abstract

The shock formation in a gravitating atmosphere is studied by following the general nonlinear theory of discontinuity waves. In particular, we perform a discussion on the stability of an isothermal and isoentropic atmosphere and we evaluate, when the shock appears, the critical time and the critical height. Some numerical results for the solar and terrestrial atmospheres are also given.

Keywords

Atmosphere Critical Time Nonlinear Theory Shock Formation Critical Height 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anile, A. M., Mulone, G., and Pluchino, S.: 1980,Wave Motion 2, 267.Google Scholar
  2. Boillat, G.: 1965,La Propagation des Ondes, Gauthier-Villars, Paris.Google Scholar
  3. Boillat, G. and Ruggeri, T.: 1978,Boll. U.M.I. 15A, 197.Google Scholar
  4. Boillat, G. and Ruggeri, T.: 1979,Wave Motion 1, 149.Google Scholar
  5. Chen, P.: 1973, in S. Flügge (ed.),Handbuch der Physik 6A/3, 303.Google Scholar
  6. Choquet-Bruhat, Y.: 1969,J. Math. Pures et Appl. 48, 117.Google Scholar
  7. Einaudi, F.: 1970,J. Geophys. Res. 75, 193.Google Scholar
  8. Ferraioli, F., Ruggeri, T., and Virgopia, N.: 1978,Astrophys. Space Sci. 56, 303.Google Scholar
  9. Hariharan, S. I.: 1987,Quart. Appl. Math. 45, 735.Google Scholar
  10. Ruggeri, T.: 1980,Applicable Analysis 11, 103.Google Scholar
  11. Ruggeri, T.: 1989, in Longman (ed.),Contributions on Nonlinear Wave Motion (to appear).Google Scholar
  12. Ulmschneider, P., Kalkofen, W., Nowak, T., and Bohn, U.: 1977,Astron. Astrophys. 54, 61.Google Scholar
  13. Yousaf, M.: 1980,Phys. Fluids 30, 3669.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Augusto Muracchini
    • 1
  • Tommaso Ruggeri
    • 1
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly

Personalised recommendations