Flame Propagation in One-dimensional Stationary Ergodic Media

@inproceedings{Caffarelli2006FlamePI,
  title={Flame Propagation in One-dimensional Stationary Ergodic Media},
  author={Luis Caffarelli and K. -B. Lee and Antoine Mellet},
  year={2006}
}
This paper investigates front propagation in random media for a free boundary problem arising in combustion theory. We show the existence of asymptotic travelling waves solutions with effective speed depending only on the essential infimum of the combustion rate. This result generalizes a previous result of the same authors in the periodic case. 

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References

Publications referenced by this paper.
Showing 1-6 of 6 references

Front propagation in periodic excitable media

  • F. Hamel H. Berestycki
  • Comm . Pure Appl . Math .
  • 2002

Front propagation in periodic excitable media, Comm

  • H. Berestycki, F. Hamel
  • Pure Appl. Math
  • 2002

Gradient estimates for variable coefficient parabolic equations and singular perturbation problems

  • C. E. Kenig
  • American Journal of Mathematics
  • 1998

Uniform estimates for regularization of free-boundary problems

  • H. BCN Berestycki, L. A. Caffarelli, L. Nirenberg
  • Lectures Notes in Pure and Appl. Math
  • 1990

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