Skip to main content
SpringerLink
Log in
Book cover

Probabilistic Models for Nonlinear Partial Differential Equations pp 96–126Cite as

Kinetic limits for stochastic particle systems

  • Chapter
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1627))

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. Arkeryd, L., Arch Rat Mech and Anal 103, 139–149 (1988).

    Article  MathSciNet  Google Scholar 

  2. Braun, W., Hepp, K., Comm. Math. Phys. 56, 101–120 (1977).

    Article  MathSciNet  Google Scholar 

  3. Cercignani, C., “Recent results in kinetic theory of gases,” Rendiconti Sem. Mat. Univ. Torino, 47–64 (1990).

    Google Scholar 

  4. Caprino, S., De Masi, A., Presutti, E., Pulvirenti, M., Comm. Mat. Phys. 135, 443–465 (1991).

    Article  Google Scholar 

  5. Cercignani, C., Illner, R. Pulvirenti, M., “The mathematical theories of diluite gases”, Springer series in Appl. Math. 106 (1994).

    Google Scholar 

  6. Caprino, S., Pulvirenti, M., Comm. Math. Phys. 166, 603–621 (1994).

    Article  MathSciNet  Google Scholar 

  7. Caprino, S., Pulvirenti, M., “The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state”, preprint (1994).

    Google Scholar 

  8. Dobrushin, R.L., Sov. J. Funct. Anal. 13, 115–119 (1979).

    Article  MathSciNet  Google Scholar 

  9. Di Perna, R.J., Lions, P.L., “On the Cauchy problem for Boltzmann equations: global existence and stability”, Ann. Math. 130, 321–366 (1989).

    Article  MathSciNet  Google Scholar 

  10. Grad, H., Comm. Pure Appl. Math. 2, 331–407 (1949).

    Article  MathSciNet  Google Scholar 

  11. Kac, M., Probability and Related Topics, Interscience, New York (1959).

    MATH  Google Scholar 

  12. Lanford III, O., “The evolution of large classical system”, Lect. Notes in Physics 35, (J. Moser, ed.), Springer (1975).

    Google Scholar 

  13. Lions, P.L., Perthame, B., Tadmor, E., “A kinetic formulation of multidimensional scalar conservation laws and related eqautions”, J.A.M.S. 7–1, 169–191 (1992).

    MATH  Google Scholar 

  14. McKean, H.P., “Lectures in differential equations”, (Aziz, ed.), 2, 177 (1969).

    Google Scholar 

  15. Marchioro, C., Pulvirenti, M., Mathematical Theory of Incompressible Nonviscous Fluids, Springer series in Appl. Math. 96 (1994).

    Google Scholar 

  16. Neunzert, H., Lect. Notes Math. 1048, (C. Cercignani, ed.), 60–110, Springer (1984).

    Google Scholar 

  17. Perthame, B., Pulvirenti, M., Asympt. Anal. (1995).

    Google Scholar 

  18. Perthame, B., Tadmor, E., Comm. Math. Phys. 136, 501–517 (1991).

    Article  MathSciNet  Google Scholar 

  19. Pulvirenti, M., Wagner, W., Zavelani, M.B., Eur. J. Mech., B/Fluids 3, 339–351 (1994).

    Google Scholar 

  20. Rezakhanlou, F., “Kinetic limits for a class of interacting particle systems”, Probab Theory Related Fields, to appear (1995).

    Google Scholar 

  21. Varadhan, S.R.S., Lect. Notes Math. 1551, (C. Cercignani and M. Pulvirenti, eds.), Springer (1994).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “La Sapienza”, Roma, Italy

    Mario Pulvirenti

Authors
  1. Mario Pulvirenti
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Denis Talay Luciano Tubaro

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag

About this chapter

Cite this chapter

Pulvirenti, M. (1996). Kinetic limits for stochastic particle systems. In: Talay, D., Tubaro, L. (eds) Probabilistic Models for Nonlinear Partial Differential Equations. Lecture Notes in Mathematics, vol 1627. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093178

Download citation

  • DOI: https://doi.org/10.1007/BFb0093178

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61397-8

  • Online ISBN: 978-3-540-68513-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation