Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle

@inproceedings{Nolen2005ExistenceOK,
  title={Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle},
  author={James Nolen and Jack Xin},
  year={2005}
}
We prove the existence of reaction-diffusion traveling fronts in mean zero space-time periodic shear flows for nonnegative reactions including the classical KPP (Kolmogorov-Petrovsky-Piskunov) nonlinearity. For the KPP nonlinearity, the minimal front speed is characterized by a variational principle involving the principal eigenvalue of a space-time periodic parabolic operator. Analysis of the variational principle shows that adding a mean-zero space time periodic shear flow to an existing mean… CONTINUE READING
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Showing 1-10 of 31 references

Existence of planar flame fronts in convective-diffusive periodic media

  • J. Xin
  • Arch. Rat. Mech. Anal., 121
  • 1992
Highly Influential
8 Excerpts

Flame enhancement and quenching in fluid flows

  • N. Vladimirova, P. Constantin, A. Kiselev, O. Ruchayskiy, L. Ryzhik
  • Combust. Theory Model., 7
  • 2003
2 Excerpts

Flame enhancement and quenching in fluid flows , Combust

  • P. Constantin N. Vladimirova, A. Kiselev, O. Ruchayskiy, L. Ryzhik
  • Theory Model .
  • 2003

Front propagation in periodic excitable media

  • H. Berestycki, F. Hamel
  • Comm. in Pure and Applied Math. 60
  • 2002
2 Excerpts

Nirenberg , Travelling fronts in cylinders

  • L. H. Berestycki
  • 2002

Estimates for the principal spectrum point for certain time-dependent parabolic operators

  • V. Hutson, W. Shen, G. T. Vickers
  • Proceedings of the American Mathematical Society…
  • 2001

Parameterizing turbulent flame speed-Part I: unsteady shears

  • B. Khouider, A. Bourlioux, A. Majda
  • flame residence time and bending, Combustion…
  • 2001
3 Excerpts

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