Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 50, 1993 - Issue 3-4
Submit an article Journal homepage
93
Views
39
CrossRef citations to date
0
Altmetric
Original Articles

On interaction of shock waves with weak discontinuities

Ch. Radha Depaxtmcnt of Mathematics., Institute of Technology., Bombay, 400076
,
V.D. Sharma DepatIment of Engineering Mathematics,, The University, Newwtlc upon Tyne, England, U.K.
&
A. Jeffrey DepatIment of Engineering Mathematics,, The University, Newwtlc upon Tyne, England, U.K.
Pages 145-166 | Received 26 Jan 1992, Published online: 20 Jan 2011

References

  • Swan , G.W. and Fowles , G.R. 1975 . Shock wave stability, . Phys. Fluids. , 18 : 28 – 35 .
  • Van Moorhen , W.K. and George , A.R. 1975 . On the stability of plane shocks, . J. Fluid Mech. , 68 : 97 – 108 .
  • Jeffrey , A. 1973 . The propagation of weak discontinuities in quasilinear hyperbolic systems with discontinuous coefficients, . Part I Fundamental Theory, Applicable Analysis , 3 : 79 – 100 .
  • Brun , L. 1975 . “ Ondes de choc finies dans les solides elastiques ” . In in Mechanical Waves in Solids , Edited by: Mandel , J. and Brun , L. Vol. 23 , Springer .
  • Morro , A. 1978 . Interaction of acoustic waves with shock . waves in elastic solids,ZAMP , 29 : 822 – 827 .
  • Morro , A. 1980 . Interaction of waves with shocks in . magnetodynamics, Acta Mechanica , 35 : 197 – 213 .
  • Boilla , G. and Rugger , T. 1979 . Reflection and transmission of discontinuity waves through a shock wave. . General theory including also the case of characteristic shocks, Proc. Royal Soc. Edinburgh, Sect. A., , 83 : 17 – 24 .
  • Rugger , T. 1980 . Interaction between a discontinuity wave and a shock wave: critical time for the fastest transmitted wave, . example of the polytropic fluid, Applicable Analysis , 11 : 103 – 112 .
  • Virgopia , N. and Ferraiol , F. 1982 . Interaction between a weak discontinuity wave and a blast wave: . search for critical times for transmitted waves in selfsimilar flows, 11 Nuovo Cimento , 69 : 119 – 135 .
  • Landau , L. and Lifchitz , E. 1959 . Fluid Mechanics Vol. 23 , Pergamon
  • Rogers , M.H. 1957 . Analytic solutions for the blast wave problem with an . atmosphere of varying density, Ap. J. , 125 : 478 – 493 .
  • Jeffrey , A. 1976 . “ Quasilinear hyperbolic systems and waves ” . Vol. 23 , London : PitmanPitman .
  • Lax , P.D. 1957 . Hyperbolic system of conservation laws, . II, Comm. Pure Appl. Math. , 10 : 537 – 566 .
  • Kopal , Z. 1954 . The propagation of shock waves in self—similar . gas spheres. Ap. J. , 120 : 159
  • Courant , R. and Friedrichs , K.O. 1948 . “ Supersonic flow and shock waves ” . In Interscience , New York : Interscience .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.