On a free boundary problem associated with combustion and solidification

M. L. Frankel

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 2, page 283-291
  • ISSN: 0764-583X

How to cite

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Frankel, M. L.. "On a free boundary problem associated with combustion and solidification." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.2 (1989): 283-291. <http://eudml.org/doc/193560>.

@article{Frankel1989,
author = {Frankel, M. L.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {free boundary problem; interface problems; flame propagation; solidification; plane wave solution; linear stability; Laplace transformation},
language = {eng},
number = {2},
pages = {283-291},
publisher = {Dunod},
title = {On a free boundary problem associated with combustion and solidification},
url = {http://eudml.org/doc/193560},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Frankel, M. L.
TI - On a free boundary problem associated with combustion and solidification
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 2
SP - 283
EP - 291
LA - eng
KW - free boundary problem; interface problems; flame propagation; solidification; plane wave solution; linear stability; Laplace transformation
UR - http://eudml.org/doc/193560
ER -

References

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  1. [1] M. L. FRANKEL, G. I. SIVASHINSKY, 1987, On the equation of a curved flame front, to appear in Physica D. Zbl0695.35210MR939265
  2. [2] M. L. FRANKEL, 1987 « On the Nonlinear Evolution of a Solid-Liquid Interface», Physics Letters A to appear. MR935919
  3. [3] B. J. MATKOWSKY, G. I. SIVASHINSKY, 1979, SIAM J. of Applied Mathematics37 689-699. 
  4. [4] G. I. SIVASHINSKY, 1977, Acta Astronautica 4 1177 1206. Zbl0427.76047MR502829
  5. [5] M. L. FRANKEL, Physica 27D, 1987, 260. 
  6. [6] B. NICOLAENKO, B. SCHEURER and R. TEMAM, Physica 16D, 1985, 155. MR796268
  7. [7] D. MICHELSON, Physica 20D, 1986, 89-111. Zbl0603.35080MR840029

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