Skip to main content

Free Work and Control of Equilibrium Configurations

  • Conference paper

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 61))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover 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. R. Abeyaratne & J.K. Knowles, Elastic materials with two stress-free configurations, J. of Elasticity 67 (2002), 61–69.

    Article  MATH  MathSciNet  Google Scholar 

  2. R. Benabidallah & M. Padula, Sulla stabilità di un fluido politropico, viscoso, pesante in un contenitore limitato da pareti perfette conduttrici di calore, Annali Univ. Ferrara, sez VII, Sc. Mat. XLV (1999), 127–161.

    MathSciNet  Google Scholar 

  3. J.L. Ericksen [E], Introduction to the thermodynamics of solids, Applied Math. and Math. Comput., 1 (1991).

    Google Scholar 

  4. G. Guidoboni & B.J. Jin, On the nonlinear stability of Marangoni-Benard problem with free surface in Boussinesq approximation, to appear.

    Google Scholar 

  5. G. Grioli, Lezioni di Meccanica Razionale, Ed. Libreria, Cortina Padova, (1991).

    Google Scholar 

  6. B.J. Jin & M. Padula, On existence of nonsteady compressible viscous flows in a horizontal layer with free upper surface, Comm. Pure Appl. Anal. 1(3) (2002), 370–415.

    MathSciNet  Google Scholar 

  7. M. Padula, On the exponential decay to the rest state for a viscous isothermal fluid, J. Math. Fluid Mech., 1 (1999), 1–16.

    Article  MathSciNet  Google Scholar 

  8. M. Padula, On the exponential stability of the rest of a viscous compressible fluid, Proc. of Society of Trends in Application of Mathematics to Mechanics, Nice 25–29 may (1998).

    Google Scholar 

  9. M. Padula & M. Pokorny, Stability and decay to zero of the L 2 norms of perturbations to a viscous compressible heat conductive fluid motion exterior to a ball, J. Math. Fluid Mech., 3 (2001), 317–408.

    Article  MathSciNet  Google Scholar 

  10. M. Padula & V.A. Solonnikov, On the Rayleigh-Taylor Stability, Annali dell’Università di Ferrara, (sez.VIII, Sci. Mat.) 46 (2000), 307–336.

    MATH  MathSciNet  Google Scholar 

  11. M. Padula & V.A. Solonnikov, On the global existence of nonsteady motions of a fluid drop and their exponential decay to a rigid rotation, to appear on Quaderni di Matematica.

    Google Scholar 

  12. M. Padula & V.A. Solonnikov, Existence of non-steady flows of an incompressible, viscous drop of fluid in a frame rotating with finite angular velocity, Proceeding Fourth European Conference on Elliptic and Parabolic Problems, Rolduc and Gaeta 2001, World Scientific, New Jersey-London-Singapore-Hong Kong, 180–203.

    Google Scholar 

  13. M. Padula, On direct Ljapunov method in continuum theories, Nonlinear problems in mathematical physics and related topics I, in honor of prof. Ladyzhenskaya, eds. Sh. Birman, S. Hildebrandt, V.A. Solonnikov, O.A. Uralsteva, Kluwer Academic/Plenum Publisher, New York, Boston, Dordrecht, London, Moscow, 289–302, Novosibirsk (2002), 271–283.

    Google Scholar 

  14. L. Truskinovsky & G. Zanzotto, Ericksen bar revisited: energy wiggles, J. Mech.Phys. Solids, 44 (1996), 1371–1408.

    Article  MathSciNet  Google Scholar 

  15. C.C. Wang and C. Truesdell, Introduction to rational elasticity, Nordho Int. Publ. 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Birkhäuser Verlag Basel/Switzerland

About this paper

Cite this paper

Padula, M. (2005). Free Work and Control of Equilibrium Configurations. In: Rodrigues, J.F., Seregin, G., Urbano, J.M. (eds) Trends in Partial Differential Equations of Mathematical Physics. Progress in Nonlinear Differential Equations and Their Applications, vol 61. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7317-2_16

Download citation

Publish with us

Policies and ethics