Skip to main content
Log in

Attractors for a Nonclassical Diffusion Equation

  • Original Papers
  • Published:
Acta Mathematicae Applicatae Sinica Aims and scope Submit manuscript

Abstract

For a nonclassical diffusion equation, the asymptotic behavior is investigated, and the existence of a global attractor is proved.

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.

Similar content being viewed by others

References

  1. Aifantis, E.C.: On the problem of diffusion in solids. Acta Mech., 37: 265–296 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  2. Hale, J.K.: Asymptotic behavior of dissipative systems. Math. Surv. Mono. 25, AMS Providence, 1980

  3. Lions, J.L., Magenes, E.: Non-homogeneous boundary value problems and applications. Springer-Verlag, Berlin, 1972

  4. Liu, Y.C., Wang, F.: A class of multidimensional nonlinear Sobolev-Galpern equation. Acta Math. Appl. Sinica, 17: 569–577 (1994) (in Chinese)

    MathSciNet  Google Scholar 

  5. Peter, J.C., Gurtin, M.E.: On the theory of heat conduction involving two temperatures. Z. Ange. Math. Phys., 19: 614–627 (1968)

    Article  MATH  Google Scholar 

  6. Temam, R.: Infinite dimensional dynamical systems in mechanics and physics. Springer-Verlag, New York, 1988

  7. Ting, T.W.: Certain non-steady flows of second order fluids. Arch. Rational Mech. Anal., 1963, 14: 1–26

    Article  MATH  MathSciNet  Google Scholar 

  8. Truesdell, C., Noll, W.: The nonlinear field theories of mechanics. Encyclopedia of physics 3, Springer-Verlag, Berlin, 1965

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yue-long Xiao.

Additional information

Supported by the National Natural Sciences Foundation of China (No.10171029)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao, Yl. Attractors for a Nonclassical Diffusion Equation. Acta Mathematicae Applicatae Sinica, English Series 18, 273–276 (2002). https://doi.org/10.1007/s102550200026

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s102550200026

Keywords

2000 MR Subject Classification

Navigation