A metastable flame-front interface and Carrier's problem

  • Authors:

  • Chunhua Ou;Michael J. Ward

  • Affiliations:

  • Department of Mathematics and Statistics, York University, Toronto, Ont., Canada M3J 1P3;Department of Mathematics, UBC, Vancouver, BC, Canada, V6T 1Z2

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2006

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Abstract

Metastable dynamics for a nonlocal PDE modeling the upwards propagation of a flame-front interface in a vertical channel is analyzed in the one-dimensional case where the channel cross-section is taken to be the slab -1