Skip to main content

Stabilizing effects of dissipation

  • Conference paper
  • First Online:
Equadiff 82

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1017))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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. DAFERMOS, C.M., Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity. SIAM J. Math. Analysis 13 (1982), 397–408.

    Article  MathSciNet  MATH  Google Scholar 

  2. DAFERMOS, C.M. & HSIAO, L., Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity. J. Nonlinear Analysis 6 (1982), 435–454.

    Article  MathSciNet  MATH  Google Scholar 

  3. DAFERMOS, C.M. & HSIAO, L., Adiabatic shearing of incompressible fluids with temperature dependent viscosity. Quart. Appl. Math. (to appear).

    Google Scholar 

  4. DAFERMOS, C.M., & NOHEL, J.A., Energy methods for a class of nonlinear hyperbolic Volterra equations. Commun. in P.D.E. 4 (1979), 219–278.

    Article  MathSciNet  MATH  Google Scholar 

  5. DAFERMOS, C.M. & NOHEL, J.A., A nonlinear hyperbolic Volterra equation in viscoelasticity. Am. J. Math. 1981 (suppl. dedicated to P. Hartman), pp. 87–116.

    Google Scholar 

  6. HRUSA, W.J., A nonlinear functional differential equation in Banach space with applications to materials with fading memory. Arch. Rational Mech. Anal. (to appear).

    Google Scholar 

  7. KAZHIKOV, A.M., & SHELUKHIN, V.V., Unique global solution with respect to time of initial-boundary value problems for one dimensional equations of a viscous gas. Appl. Math. Mech. 41 (1977), 273–282.

    Article  MathSciNet  Google Scholar 

  8. MACCAMY, R.C., A model for one-dimensional, nonlinear viscoelasticity. Q. Appl. Math. 35 (1977), 21–33.

    MathSciNet  MATH  Google Scholar 

  9. MATSUMURA, A., & NISHIDA, T., The initial value problem for the equations of motion of viscous and heat-conductive gases. J. Math. Kyoto Univ. 20 (1980), 67–104.

    MathSciNet  MATH  Google Scholar 

  10. SLEMROD, M., Global existence, uniqueness and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity. Arch. Rational Mech. Anal. 76 (1981), 97–133.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. W. Knobloch Klaus Schmitt

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Dafermos, C.M. (1983). Stabilizing effects of dissipation. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103245

Download citation

  • DOI: https://doi.org/10.1007/BFb0103245

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12686-7

  • Online ISBN: 978-3-540-38678-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics