Skip to main content
SpringerLink
Log in

Numerical Simulation and Nonlinear Processes in Dissipative Media

  • Conference paper
Self-Organization Autowaves and Structures Far from Equilibrium

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 28))

Abstract

A series of works on studying self-maintained dissipative structures in plasma (the T-layer) have been performed in our Institute and registered as Scientific discovery No 55. Later on these works have been experimentally confirmed. References for the “T-layer” problem can be found in [34,14]. Numerical techniques in combination with analytical research are an efficient tool for investigating many problems concerned with nonlinear media. These investigations are of fundamental importance since they give way to new conceptions of the phenomena in nonlinear media and contribute much to the solution of modern global problems of energetics (plasma physics problems), ecology, active biological media, cosmogony, universal field theory, and so on. They are also essential for the development of various technological problems.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

References

  1. A.A. Samarskii, N.V. Zmitrenko et al. Dokl. Akad. Nauk SSSR, (1975), v. 223, No 6, p. 1344–1347.

    ADS  Google Scholar 

  2. N.V.Zmitrenko, S.P.Kurdjumov et al. Preprint No 103, Keldysh Inst. Appi. Math. Acad. Sci. USSR, Moscow (1977).

    Google Scholar 

  3. V.A. Galaktionov, A.P. Mikhailov. Preprint No 53, Keldysh Inst.Appi. Math. Acad. Sci. USSR, Moscow (1977).

    Google Scholar 

  4. V.A. Galaktionov, S.P. Kurdjumov et al. Differencial’nye Uravnenija (1980) v.16, No 7, c.1196–1204.

    Google Scholar 

  5. A.A. Samarskii, I.M. Sobol1. Z. Vycisl. Mat. i Mat.Fiz. (1963) v.3., No 4, p. 703–719.

    Google Scholar 

  6. V.A.Galaktionov, S.P.Kurdjumov S.P. et al. Z.Vycisl. Mat. i. Mat. Fiz. (1979) v. 19, No 6, p. 1451–1461.

    Google Scholar 

  7. V.A. Galaktionov, S.P. Kurdjumov et al. Dokl. Akad. Nauk SSSR (1979) V..248, No 3, p. 586–589.

    Google Scholar 

  8. V.A. Galaktionov. Dokl.Akad.Nauk SSSR, (1980) v.251, No 4, p.832– 835.

    Google Scholar 

  9. V.A. Galaktionov, S.P. Kurdjumov et al. Differencial1nye Uravnenija (1981) v. 17, No 10, p. 1826–1841.

    Google Scholar 

  10. V.A. Galaktionov, A.A. Samarskii. Matem.Sbornik (1982) v.118, c.292–322, c.435–455 (1983), v.120, c.3–21, v.121, c.131–155.

    Google Scholar 

  11. A.A. Samarskii. In: Trudy Mat.Inst.Steklov (1981) v.158, c.153–162.

    Google Scholar 

  12. A.A. Samarskii, V.A. Galaktionov et al. Dokl.Akad.Nauk SSSR, (1979) v. 247, No 2, p. 349–353.

    MathSciNet  ADS  Google Scholar 

  13. L.V. Ovsjynnikov. Dokl.Akad.Nauk SSSR (1959) v. 125, No 3, p. 492–495.

    Google Scholar 

  14. N.X. Ibragimov. Groups Transformation in Mathematical Physics. Moscow: Nauka (1983).

    MATH  Google Scholar 

  15. A.A. Samarskii, N.V.Zmitrenko et al. Dokl.Akad.Nauk SSSR, (1976) v. 221, No 2, p. 321–324.

    Google Scholar 

  16. A.A. Samarskii, G.G. Elenin et al. Dokl. Akad.Nauk SSSR, (1977) v. 237, No 6, p. 1330–1333.

    Google Scholar 

  17. S.P. Kurdjumov. In: Modern Problems of Mathematical Physics and Computational Mathematics. Moscow: Nauka (1982) p. 217–243.

    Google Scholar 

  18. G.G. Elenin, S.P. Kurdjumov. Preprint No 106, Keldysh Inst.Appi. Math. Acad. Sci.USSR, Moscow (1977).

    Google Scholar 

  19. G.G. Elenin, S.P. Kurdjumov, A.A. Samarskii. Z. Vycisl.Mat. i Mat. Fiz. (1983) v. 23, No 2, p. 380–390.

    MathSciNet  MATH  Google Scholar 

  20. S.P. Kurdjumov, G.G. Malinetskii et al. Dokl.Akad.Nauk SSSR (1980) v. 251, No 4, p. 836–839.

    MathSciNet  Google Scholar 

  21. M.M. Adjutov, Y.A. Klokov, A.P. Mikhailov. Differencial’nye Uravnenija, (1983) v. 19, No 7, p. 1107–1114.

    Google Scholar 

  22. S.P. Kurdjumov, E.S. Kurkina, A.B. Potapov. Preprint No 75, Keldysh Inst.Appl.Math.Acad.Sci.USSR, Moscow (1982).

    Google Scholar 

  23. V.A. Galaktionov, S.P. Kurdjumov et al. Dokl.Akad.Nauk SSSR (1980) v. 252, No 6, p. 1362–1364.

    MathSciNet  Google Scholar 

  24. V.A. Galaktionov. Differencial1nye Uravnenija (1981) v. 17, No 5, p. 836–842.

    MathSciNet  MATH  Google Scholar 

  25. V.A. Galaktionov. Z. Vycisl.Mat. i Mat.Fiz. (1982), v. 22, No 6, p. 1369–1385.

    MathSciNet  Google Scholar 

  26. V.A. Dorodnicyn. Z. Vycisl.Mat. i Mat.Fiz. (1982) v. 22, No 6, p. 1393–1400.

    Google Scholar 

  27. V.A. Galaktionov T S.P. Kurdjumov et al. Preprint No 161, Keldysh Inst. Appl.Math.Acad.Sci.USSR, Moscow (1979).

    Google Scholar 

  28. V.A. Galaktionov. Preprint No 16, Keldysh Inst.Appl.Math.Acad.Sci. USSR, Moscow (1981).

    Google Scholar 

  29. V.A. Galaktionov. Dokl.Acad.Nauk SSSR (1982) v.264, No 5, p.1305– 1040.

    Google Scholar 

  30. V.A. Galaktionov, S.P. Kurdjumov, A.A. Samarskii. Differencial’nye Uravnenija (1983) v19 No 12.

    Google Scholar 

  31. S.P. Kurdjumov, E.S. Kurkina et al. Dokl.Akad.Nauk SSSR, (1981), v. 258, No 5, p. 1084–1088.

    Google Scholar 

  32. N.V. Zmitrenko, S.P. Kurdjumov et al. Pisma v JETP (1977) v. 26, p. 620–624.

    Google Scholar 

  33. V.A. Galaktionov, A.A. Samarskii. Z. Vycisl.Mat. i Mat. Fiz. (1983) v.23, No 3, p.646–659, No 4, p. 831–838.

    Google Scholar 

  34. S.P. Kurdjumov, N.V. Zmitrenko. Z. Prikl. Mech. i Teor. Fiz. (1977) No 1, p.3–23,

    Google Scholar 

  35. M.A. Anufrieva, A.P. Mikhailov. Differencial’nye Uravnenija (1983) v. 19, No 3, p. 483–491.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, USSR Academy of Sciences, SU-Moscow, USSR

    A. A. Samarskii

Authors
  1. A. A. Samarskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Biological Physics, USSR Academy of Sciences, SU-142292, Pushchino, USSR

    V. I. Krinsky

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Samarskii, A.A. (1984). Numerical Simulation and Nonlinear Processes in Dissipative Media. In: Krinsky, V.I. (eds) Self-Organization Autowaves and Structures Far from Equilibrium. Springer Series in Synergetics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70210-5_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-70210-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70212-9

  • Online ISBN: 978-3-642-70210-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation