Skip to main content

URTI

  • Chapter
  • First Online:
Wave Propagation

Part of the book series: C.I.M.E. Summer Schools ((CIME,volume 81))

  • 1719 Accesses

Abstract

Introduciamo un vettore che è un insieme di N funzioni delle variabili indipendenti xα (α= 1, 2,…,n)

$$ u\left( {x^\alpha} \right) = \left| {\begin{array}{*{20}c} {u^1 }\\ {u^2 }\\ .\\ .\\ {u^N }\\ \end{array} } \right| $$

La variabile xO = t rappresenta usualmente il tempo mentre xi (i = 1,2,…,n) sono variabili di spazio. Scriviamo

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliografia

  1. K. O. FRIEDRICHS … P. D. LAX, Proc. Natl. Acad. Sci. U. S. A., 68 (1971) 1686.

    Article  Google Scholar 

  2. G. BOILLAT, Comptes rendus, 278 A (1974) 909.

    Google Scholar 

  3. S. K. GODUNOV, Sov. Math., 2 (1961) 947.

    Google Scholar 

  4. G. BOILLAT, Ann. Mat. pura ed appl., 111 (1976) 31.

    Article  Google Scholar 

  5. ID., Comptes rendus, 283 A (1976) 539.

    Google Scholar 

  6. A. JEFFREY, Corso C.I. M. E., in questo libro.

    Google Scholar 

  7. P. D. LAX, Comm. Pure Appl. Math., 10 (1957) 537.

    Article  MathSciNet  Google Scholar 

  8. G. BOILLAT, Comptes rendus, 283 A (1976) 409.

    Google Scholar 

  9. T. RUGGERI, Corso C. I. M. E., inquesto libro; T. RUGGERI … A. STRUMIA, Ann. Inst. H. Poincare, in corso di stampa.

    Google Scholar 

  10. D. FUSCO, Rend. Sem. Mat. di Modena, in corso di stampa.

    Google Scholar 

  11. D. ter HAAR … H. WERGELAND, Elements of Thermodynamics, Addison-Wesley Publ. Co., Reading, Mass., 1966.

    MATH  Google Scholar 

  12. G. BOILLAT … T. RUGGERI, Acta Mech., 35 (1980) 271.

    Article  Google Scholar 

  13. ID., Boll. Un. Mat. Ital., 15 A (1978) 197.

    Google Scholar 

  14. G. BOILLAT, Comptes rendus, 274 A (1972) 1018.

    Google Scholar 

  15. ID., Comptes rendus, 280 A (1975) 1325.

    Google Scholar 

  16. ID., Ibid., 284 A (1977) 1481.

    Google Scholar 

  17. ID., J. Math, pures et appl., 56 (1977) 137.

    Google Scholar 

  18. G. BOILLAT … T. RUGGERI, Comptes rendus, 289 A (1979) 257.

    Google Scholar 

  19. M. BERGER … M. BERGER, Perspectives in nonlinearity, W.A. Benjamin, Inc. New York (1968), pag.137.

    MATH  Google Scholar 

Download references

Authors

Editor information

Giorgio Ferrarese

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Boillat, G. (2010). URTI. In: Ferrarese, G. (eds) Wave Propagation. C.I.M.E. Summer Schools, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11066-5_3

Download citation

Publish with us

Policies and ethics