Skip to main content

Convergence of solutions of capillo-viscoelastic perturbations of the equations of elasticity

Part of the Lecture Notes in Mathematics book series (LNM,volume 1324)

Keywords

  • Shock Wave
  • Cauchy Problem
  • Diffusion Equation
  • Deformation Gradient
  • Parabolic System

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. N. CHUEH, C. C. CONLEY and J. A. SMOLLER, Positively invariant regions for systems of nonlinear diffusion equations, Indiana University Mathematics Journal, vol. 26, No 2, (1977), 372–392.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. J. DI PERNA, Convergence of approximate solutions to conservation laws, Arch. Rational Mech. Anal. vol. 82, (1983), 27–70.

    CrossRef  MathSciNet  Google Scholar 

  3. F. MURAT, Compacité par compensation, Ann. Scuola Norm. Sup. Pisa, Sic. Fis, Math., 5 (1978), 489–507.

    MathSciNet  MATH  Google Scholar 

  4. F. MURAT, L'injection du cône positif de H−1 dans W−1,q est compacte pour tout q<2, J. Math. Pures et appl., 60, (1981), 309–322.

    MathSciNet  MATH  Google Scholar 

  5. M. SLEMROD, Lax-Friedrichs and the viscosity-capillarity criterion, Proc. of U.W.Va. Conference on Physical Partial Differential Equations, July 1983, to appear.

    Google Scholar 

  6. J. A. SMOLLER, Shock Waves and Reaction-Diffusion Equations, Springer Verlag, 1982.

    Google Scholar 

  7. L. TARTAR, Compensated compactness and applications to partial differential equations, in Nonlinear Analysis and Mechanics: Heriot-Watt Symposion, vol. IV, Research Notes in Mathematics, 39, R. J. Knops, Ed., Pitman Publ. Co., 1979.

    Google Scholar 

  8. L. TARTAR, Une nonvelle methode de resolution d'equations aux derivees partielles nonlineares, Lectures Notes in Math., vol. 665, Springer Verlag, 1, (1977), 228–241.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Boldrini, J.L. (1988). Convergence of solutions of capillo-viscoelastic perturbations of the equations of elasticity. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100781

Download citation

  • DOI: https://doi.org/10.1007/BFb0100781

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

  • eBook Packages: Springer Book Archive