Skip to main content

Part of the book series: SpringerBriefs in Mathematical Physics ((BRIEFSMAPHY,volume 12))

  • 1086 Accesses

Abstract

In this chapter we discuss very briefly other models which have several features in common with our basic model .

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 EPUB and 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

References

  1. P. Groisman, M Jonckheere, Front propagation and quasi-stationary distributions: the same selection principle? (2013). arXiv:1304.4847

  2. P. Maillard, Speed and fluctuations of \(N\) particle branching Brownian motion with spatial selection (2013). arXiv:1304.0562

  3. R. Durrett, D. Remenik, Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Ann. Probab. 39, 2043–2078 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  4. A. De Masi, P.A. Ferrari, Separation versus diffusion in a two species system. Braz. J. Probab. Stat. 29, 387–412 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  5. A. De Masi, P.A. Ferrari, E. Presutti, Symmetric simple exclusion process with free boundaries. Probab. Theory Relat. Fields 161, 155–193 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  6. H. Lacoin, The scaling limit of polymer pinning dynamics and a one dimensional Stefan freezing problem. Commun. Math. Phys. 331, 21–66 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  7. L.A. Caffarelli, J.L. Vazquez, A free boundary problem for the heat equation arising in flame propagation. Trans. Am. Math. Soc. 347, 411–441 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  8. C. Landim, G. Valle, A microscopic model for Stefan melting and freezing problem. Ann. Probab. 34, 779–803 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Gravner, J. Quastel, Internal DLA and the Stefan problem. Ann. Probab. 28, 1528–1562 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  10. L. Chayes, G. Swindle, Hydrodynamic limits for one-dimensional particle systems with moving boundaries. Ann. Probab. 24, 559–598 (1996)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gioia Carinci .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Author(s)

About this chapter

Cite this chapter

Carinci, G., De Masi, A., Giardinà, C., Presutti, E. (2016). Other Models. In: Free Boundary Problems in PDEs and Particle Systems. SpringerBriefs in Mathematical Physics, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-33370-0_15

Download citation

Publish with us

Policies and ethics