Skip to main content

Relative Entropy and Hydrodynamic Limits

  • Chapter
Stochastic Processes

Abstract

For the non-gradient version of the Ginzburg-Landau type model for which we established a hydrodynamic scaling limit earlier, we now show that if we start from an initial distribution that is locally Gibbsian then at any later time the distibutions remain close to locally Gibbsian distributions.

Research partially supported by U. S. National Science Foundation grants DMS 89001682 and DMS 9100383.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Guo, M. Z., Papanicolaou, G. C., Varadhan, S. R. S., Comm. Math. Phys. 118, 31 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  2. Varadhan, S. R. S., to appear.

    Google Scholar 

  3. Yau, H. T., Lett. math. Phys. 22, 63 (1991).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag New York, Inc.

About this chapter

Cite this chapter

Varadhan, S.R.S. (1993). Relative Entropy and Hydrodynamic Limits. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_37

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-7909-0_37

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7911-3

  • Online ISBN: 978-1-4615-7909-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics