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Online ISSN 1552-4485; Print ISSN 0033-569X
On thermal instability in rigid heat conductors with nonlinear heat generation
Authors:
Peter J. Chen, R. Ray Nachlinger and Jace W. Nunziato
Journal:
Quart. Appl. Math. 34 (1976), 311-317
MSC:
Primary 80.35
DOI:
https://doi.org/10.1090/qam/459334
MathSciNet review:
459334
Full-text PDF Free Access
References | Similar Articles | Additional Information
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J. W. Enig, Approximate solutions in the theory of thermal explosions for semi-infinite explosives, Proc. Roy. Soc. London A 305, 205–217 (1968)
J. W. Enig, D. Shanks, and R. W. Southworth, The numerical solution of the heat conduction equation occurring in the theory of thermal explosions, U. S. Naval Ordnance Laboratory, NAVORD Rept. 4377 (1956)
P. B. Bailey, On the problem of thermal instability of explosive materials, Combustion and Flame 23, 329–336 (1974)
- Wolfgang Walter, Differential and integral inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 55, Springer-Verlag, New York-Berlin, 1970. Translated from the German by Lisa Rosenblatt and Lawrence Shampine. MR 0271508
- Richard Bellman, On the existence and boundedness of solutions of nonlinear partial differential equations of parabolic type, Trans. Amer. Math. Soc. 64 (1948), 21–44. MR 25667, DOI https://doi.org/10.1090/S0002-9947-1948-0025667-5
- R. Narasimhan, On the asymptotic stability of solutions of parabolic differential equations, J. Rational Mech. Anal. 3 (1954), 303–313. MR 61260, DOI https://doi.org/10.1512/iumj.1954.3.53015
- James M. Greenberg, A note on the stability properties of uniform temperature fields, J. Math. Anal. Appl. 19 (1967), 247–252. MR 233082, DOI https://doi.org/10.1016/0022-247X%2867%2990119-9
- C. Georgakis and R. L. Sani, On the stability of the steady state in systems of coupled diffusion and reaction, Arch. Rational Mech. Anal. 52 (1973), 266–296. MR 440203, DOI https://doi.org/10.1007/BF00247738
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Article copyright:
© Copyright 1976
American Mathematical Society