A free boundary problem arising in flame propagation

Journal of Differential Equations

Volumn 191, Issue 2, 2003, Pages 470-489

  Kim, Inwon C ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038346801     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00195-X     Document Type: Article

References (13)

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3. J.D. Buckmaster, G.S.S. Ludford, Theory of Laminar Flames, Cambridge University Press, Cambridge, 1982.
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7. V.A. Galaktionov, J. Hulshof, J.L. Vazquez, Extinction and focusing behavior of spherical and annular flames described by a free boundary problem, J. Math. Pures Appl. (9) 76 (7) (1997) 563-608.
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9. C.I. Kim, Uniqueness and Existence results on viscosity solutions of the Hele-Shaw and the Stefan problems, preprint.
10. C. Lederman, J.L. Vazquez, N. Wolanski, Uniqueness of solution to a free boundary problem from combustion, Trans. Amer. Math. Soc. 353 (2) (2001) 655-692.
11. A.M. Meirmanov, On a problem with a free boundary for parabolic equations, Mat. Sb. (N.S.)115(157) (4) (1981) pp.532-543 (Russian).
12. A. Petrosyan, On existence and uniqueness in a free boundary problem from combustion, preprint.
13. J.L. Vazquez, The free boundary problem for the heat equation with fixed gradient condition, Free Boundary Problems, Theory and Applications (Zakopane, 1995), Pitman Research Notes in Mathematical Series 363, Longman, Harlow, 1996, pp. 277-302.