A stability theorem for diffusion problems with sharply changing temperature-dependent coefficients
Authors:
A. Fasano and M. Primicerio
Journal:
Quart. Appl. Math. 33 (1975), 131-141
MSC:
Primary 35K10; Secondary 35B35
DOI:
https://doi.org/10.1090/qam/450779
MathSciNet review:
450779
Full-text PDF Free Access
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Additional Information
- Antonio Fasano and Mario Primicerio, Dipendenza continua della temperatura dai coefficienti termici in problemi di conduzione non lineari, Boll. Un. Mat. Ital. (4) 9 (1974), 93–103 (Italian). MR 0355341
- S. L. Kamenomostskaja, On Stefan’s problem, Mat. Sb. (N.S.) 53 (95) (1961), 489–514 (Russian). MR 0141895
- J. R. Cannon and C. Denson Hill, On the movement of a chemical reaction interface, Indiana Univ. Math. J. 20 (1970/71), 429–454. MR 279448, DOI https://doi.org/10.1512/iumj.1970.20.20037
- J. R. Cannon and Antonio Fasano, Boundary value multidimensional problems in fast chemical reactions, Arch. Rational Mech. Anal. 53 (1973/74), 1–13. MR 348269, DOI https://doi.org/10.1007/BF00735697
D. A. Ladizenskaja, V. A. Solonnikov and N. N. Ural’ceva, Linear and quasilinear equations of parabolic type, AMS Translations 23, Providence, R. I. (1968)
- Avner Friedman, Remarks on the maximum principle for parabolic equations and its applications, Pacific J. Math. 8 (1958), 201–211. MR 102655
C. Bonacina, G. Comini, A. Fasano and M. Primicerio, On the estimation of thermophysical properties in nonlinear heat conduction problems, Int. J. Heat Mass Transfer 17, 861–867 (1974)
A. Fasano and M. Primicerio, Dipendenza continua della temperatura dalle proprietà termiche del mezzo in problemi non lineari di conduzione, Boll. U.M.I. (4) 9, 93–103 (1974)
S. L. Kamenomostskaja, On Stefan’s problem (in Russian), Mat. Sb. 53, 489–514 (1961)
J. R. Cannon and C. D. Hill, On the movement of a chemical reaction interface, Indiana Univ. Math. 20, 429–454 (1970)
J. R. Cannon and A. Fasano, Boundary value multidimensional problems in fast chemical reactions, Arch. Rat. Mech. Anal. 53, 1–13 (1973)
D. A. Ladizenskaja, V. A. Solonnikov and N. N. Ural’ceva, Linear and quasilinear equations of parabolic type, AMS Translations 23, Providence, R. I. (1968)
A Friedman, Remarks on the maximum principle for parabolic equations and its applications, Pacific J. Math. 8, 201–211 (1958)
C. Bonacina, G. Comini, A. Fasano and M. Primicerio, On the estimation of thermophysical properties in nonlinear heat conduction problems, Int. J. Heat Mass Transfer 17, 861–867 (1974)
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Article copyright:
© Copyright 1975
American Mathematical Society
