@article{AIHPC_2009__26_4_1207_0,
author = {Monneau, R. and Weiss, G. S.},
title = {Pulsating {Traveling} {Waves} in the {Singular} {Limit} of a {Reaction-Diffusion} {System} in {Solid} {Combustion}},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {1207--1222},
year = {2009},
publisher = {Elsevier},
volume = {26},
number = {4},
doi = {10.1016/j.anihpc.2008.09.002},
mrnumber = {2542721},
zbl = {1178.35121},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2008.09.002/}
}
TY - JOUR AU - Monneau, R. AU - Weiss, G. S. TI - Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion JO - Annales de l'I.H.P. Analyse non linéaire PY - 2009 SP - 1207 EP - 1222 VL - 26 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2008.09.002/ DO - 10.1016/j.anihpc.2008.09.002 LA - en ID - AIHPC_2009__26_4_1207_0 ER -
%0 Journal Article %A Monneau, R. %A Weiss, G. S. %T Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion %J Annales de l'I.H.P. Analyse non linéaire %D 2009 %P 1207-1222 %V 26 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2008.09.002/ %R 10.1016/j.anihpc.2008.09.002 %G en %F AIHPC_2009__26_4_1207_0
Monneau, R.; Weiss, G. S. Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 4, pp. 1207-1222. doi: 10.1016/j.anihpc.2008.09.002
[1] , , , Dynamics of Hot Spots in Solid Fuel Combustion, Physica D 166 (1-2) (2002) 104-130. | Zbl | MR
[2] , , Front Propagation in Periodic Excitable Media, Comm. Pure Appl. Math. 55 (8) (2002) 949-1032. | Zbl | MR
[3] , , , Traveling Wave Solutions to Combustion Models and Their Singular Limits, SIAM J. Math. Anal. 16 (6) (1985) 1207-1242. | Zbl | MR
[4] A. Bonnet, E. Logak, Instability of travelling waves in solid combustion for high activation energy, Preprint.
[5] , , Évolution D'une Interface Par Capillarité Et Diffusion De Volume. I. Existence Locale En Temps, Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (5) (1984) 361-378. | Zbl | MR | Numdam
[6] , , , Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, vol. 23, American Mathematical Society, Providence, RI, 1967, Translated from the Russian by S. Smith. | Zbl | MR
[7] , , Travelling Wave Solutions to a Condensed Phase Combustion Model, Asymptotic Anal. 12 (4) (1996) 259-294. | Zbl | MR
[8] , , Propagation of a Pulsating Reaction Front in Solid Fuel Combustion, SIAM J. Appl. Math. 35 (3) (1978) 465-478. | Zbl | MR
[9] , , Self-Propagating High Temperature Synthesis in the High Activation Energy Regime, Acta Math. Univ. Comenian. 76 (1) (2007) 99-109. | Zbl | MR
[10] , Obstacle Problems in Mathematical Physics, North-Holland Mathematics Studies, vol. 134, North-Holland Publishing Co., Amsterdam, 1987. | Zbl | MR
[11] , , A Theory of Thermal Propagation of Flame, Acta Physico-chimica URSS 9 (1938).
Cité par Sources :





