Skip to main content
Log in

Solvability of a nonstationary thermal convection problem for a viscoelastic incompressible fluid

  • Partial Differential Equations
  • Published:
Differential Equations Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Oskolkov, A.P.,Zap. Nauchn. Sem. LOMI Akad. Nauk SSSR, 1976, vol. 59, pp. 133–177.

    MathSciNet  Google Scholar 

  2. Oskolkov, A.P.,Zap. Nauchn. Sem. LOMI Akad. Nauk SSSR, 1980, vol. 96, pp. 233–236.

    MathSciNet  Google Scholar 

  3. Sviridyuk, G.A.,Izv. Vyssh. Uchebn. Zaved. Matematika, 1990, no. 12, pp. 65–70.

  4. Sviridyuk, G.A.,Algebra i Analiz, 1994, vol. 6, no. 5, pp. 252–272.

    MathSciNet  Google Scholar 

  5. Sviridyuk, G.A.,Uspekhi Mat. Nauk, 1994, vol. 49, no. 4, pp. 47–74.

    MathSciNet  Google Scholar 

  6. Sviridyuk, G.A.,Differents. Uravn., 1987, vol. 23, no. 12, pp. 2169–2171.

    MathSciNet  Google Scholar 

  7. Oskolkov, A.P.,Zap. Nauchn. Sem. LOMI Akad. Nauk SSSR, 1991, vol. 198, pp. 31–48.

    MATH  Google Scholar 

  8. Sviridyuk, G.A.,Izv. RAN. Ser. Mat, 1993, vol. 57, no. 3, pp. 192–207.

    Google Scholar 

  9. Sviridyuk, G.A. and Sukacheva, T.G.,Differents. Uravn., 1990, vol. 26, no. 2, pp. 250–258.

    MathSciNet  Google Scholar 

  10. Sviridyuk, G.A. and Sukacheva, T.G.,Sib. Mat. Zh., 1990, vol. 31, no. 5, pp. 109–119.

    MathSciNet  Google Scholar 

  11. Levine, H.A.,Arch. Rat. Mech. Anal, 1973, vol. 51, no. 5, pp. 371–386.

    Article  MATH  Google Scholar 

  12. Bokareva, T.A., Investigation of Phase Spaces of Sobolev-Type Equations with Relatively Sectorial Operators,Cand. Sci. (Phys.-Math.) Dissertation. St. Petersburg, 1993.

  13. Borisovich, Yu.G., Zvyagin, V.G., and Sapronov, Yu.L,Uspekhi Mat. Nauk, 1977, vol. 32, no. 4, pp. 3–54.

    MATH  Google Scholar 

  14. Marsden, J. and McCracken, M.,The Hopf Bifurcation and Its Application, Heidelberg: Springer, 1976. Translated under the titleBifurkatsiya rozhdeniya tsikla i ee prilozheniya, Moscow: Mir, 1980.

    Google Scholar 

  15. Sviridyuk, G.A.,Izv. Vyssh. Uchebn. Zaved. Matematika, 1994, no. 1, pp. 62–70.

  16. Sviridyuk, G.A.,Dokl. Akad. Nauk SSSR, 1991, vol. 318, no. 4, pp. 828–831.

    MathSciNet  Google Scholar 

  17. Sviridyuk, G.A., Sukacheva, T.G., and Dudko, L.L.,Dokl. RAN, 1995, vol. 345, no. 1, pp. 25–27.

    MathSciNet  Google Scholar 

  18. Sviridyuk, G.A.,Dokl. RAN, 1993, vol. 329, no. 3, pp. 274–277.

    Google Scholar 

  19. Sviridyuk, G.A. and Fedorov, V.E.,Sib. Mat. Zh., 1995, vol. 36, no. 5, pp. 1130–1145.

    MathSciNet  Google Scholar 

  20. Henry, D.,Geometric Theory of Semilinear Parabolic Equations, Heidelberg: Springer-Verlag, 1981. Translated under the titleGeometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Moscow, 1985.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sukacheva, T.G. Solvability of a nonstationary thermal convection problem for a viscoelastic incompressible fluid. Diff Equat 36, 1225–1232 (2000). https://doi.org/10.1007/BF02754191

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02754191

Keywords

Navigation