A free-boundary problem in combustion theory

Interfaces and Free Boundaries

Volumn 2, Issue 4, 2000, Pages 381-411

  Bonder, Julián Fernández ^a   Wolanski, Noemi ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037570142     PISSN: 14639963     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

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3. BUCKMASTER, J. D. & LUDFORD, G. S. S. Theory of laminar flames. Cambridge University Press, Cambridge (1982).
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6. CAFFARELLI, L. A., LEDERMAN, C., & WOLANSKI, N. Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem. Indiana Univ. Math. J. 46, (1997) 719-740.
7. CAFFARELLI, L. A. & VÁZQUEZ, J. L. A free boundary problem for the heat equation arising in flame propagation. Trans Am. Math. Soc. 347, (1995) 411-441.
8. FORNARI, L. Regularity of the solution and of the free boundary for free boundary problems arising in combustion theory. Preprint.
9. LADYZHENSKAYA, O. A., SOLONNIKOV, V. A., & URAL'TSEVA, N. N. Linear and quasilinear equations of parabolic type. Transl. Math. Monographs, vol. 23. American Mathematical Society, Providence R. I., (1968).
10. LEDERMAN, C., VAZQUEZ, J. L., & WOLANSKI, N. Uniqueness of solution in a free boundary problem from combustion. Trans AMS. to appear.
11. LEDERMAN, C., VAZQUEZ, J. L., & WOLANSKI, N. Uniqueness of solution to a two phase free boundary problem. Preprint.
12. LEDERMAN, C. & WOLANSKI, N. Viscosity solutions and regularity of the free boundary for the limit of an elliptic two phase singular perturbation problem. Analli della Scuola Normale Sup. Pisa. Ser. IV, XXVII, (1998) 253-288. Fasc. 2
13. ZELDOVICH, YA. B. & FRANK-KAMENETSKI, D. A. The theory of thermal propagation of flames. Zh. Fiz. Khim. 12, (1938) 100-105. (in Russian);
14. English translation in Collected Works of Ya. B. Zeldovich, vol. 1. Princeton Univ. Press, (1992).