Book Review
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Book Information:
Authors:
A.A. Samarski,
V.A. Galaktionov,
S.P. Kurdyumov and
A.P. Mikhailov
Title:
Blow-up in quasilinear parabolic equations
Additional book information:
vol. 19, de Gruyter Expositions in Mathematics, de Gruyter,
Berlin and Hawthorne, NY,
1995,
xxi + 533 pp.,
ISBN 3-11-012754-7,
$198.95$
J. M. Ball, Finite time blow-up in nonlinear problems, Nonlinear evolution equations (Proc. Sympos., Univ. Wisconsin, Madison, Wis., 1977) Publ. Math. Res. Center Univ. Wisconsin, vol. 40, Academic Press, New York-London, 1978, pp. 189–205. MR 513819
Jerrold Bebernes and David Eberly, Mathematical problems from combustion theory, Applied Mathematical Sciences, vol. 83, Springer-Verlag, New York, 1989. MR 1012946, DOI 10.1007/978-1-4612-4546-9
Hiroshi Fujita, On the nonlinear equations $\Delta u+e^{u}=0$ and $\partial v/\partial t=\Delta v+e ^{v}$, Bull. Amer. Math. Soc. 75 (1969), 132–135. MR 239258, DOI 10.1090/S0002-9904-1969-12175-0
I. M. Gel′fand, Some problems in the theory of quasilinear equations, Amer. Math. Soc. Transl. (2) 29 (1963), 295–381. MR 0153960
J. Leray, Sur le mouvement d’un liquide visquex emplissant l’espace, Acta Math. 63 (1934).
- J.M. Ball, Finite Time Blow-up in Nonlinear Problems, Nonlinear Evolution Equations (M.G. Crandall, ed.), Academic Press, 1978.
- J. Bebernes and D. Eberly, Mathematical Problems from Combustion Theory, Appl. Math. Sci., vol. 83, Springer-Verlag, 1989.
- H. Fujita, On the Nonlinear Equations $\Delta u + e^{u} =0$ and $u_{t} = \Delta v + e^{v}$, Bull. Amer. Math. Soc. 75 (1969).
- I.M. Gelfand, Some Problems in the Theory of Quasilinear Equations, Uspekhi Mat. Nauk 14 (1959); English transl. in. Amer. Math. Soc. Transl. (2) 29 (1963).
- J. Leray, Sur le mouvement d’un liquide visquex emplissant l’espace, Acta Math. 63 (1934).
Review Information:
Reviewer:
Nick Alikakos
Affiliation:
University of Tennessee and University of Athens
Email:
alikakos@utk.edu
Journal:
Bull. Amer. Math. Soc.
33 (1996), 483-486
DOI:
https://doi.org/10.1090/S0273-0979-96-00675-1
Review copyright:
© Copyright 1996
American Mathematical Society
