|
Online ISSN 1552-4485; Print ISSN 0033-569X
On half-space solutions of a modified heat equation
Author:
D. E. Amos
Journal:
Quart. Appl. Math. 27 (1969), 359-369
MSC:
Primary 35.14
DOI:
https://doi.org/10.1090/qam/255962
MathSciNet review:
255962
Full-text PDF Free Access
References | Similar Articles | Additional Information
-
G. I. Barenblatt, Iu. P. Zheltov and I. N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [Strata], PPM 24, 1286–1303 (1960) (Translation of Prikl. Mat. i Meh.)
P. J. Chen and M. E. Gurtin, On a theory of heat conduction involving two temperatures, Z. Angew. Math. Phys. 19, 614–627 (1968)
- Bernard D. Coleman, Richard J. Duffin, and Victor J. Mizel, Instability, uniqueness and nonexistence theorems for the equation $u_{t}=u_{xx}-u_{xtx}$ on a strip, Arch. Rational Mech. Anal. 19 (1965), 100–116. MR 177215, DOI https://doi.org/10.1007/BF00282277
- Bernard D. Coleman and Walter Noll, An approximation theorem for functionals, with applications in continuum mechanics, Arch. Rational Mech. Anal. 6 (1960), 355–370 (1960). MR 119598, DOI https://doi.org/10.1007/BF00276168 A. Erdélyi et al., Tables of integral transforms. Vol. 1, Bateman Manuscript Project, McGraw-Hill, New York, 1954
- Walter Gautschi, Computational aspects of three-term recurrence relations, SIAM Rev. 9 (1967), 24–82. MR 213062, DOI https://doi.org/10.1137/1009002
- Richard R. Goldberg, Fourier transforms, Cambridge Tracts in Mathematics and Mathematical Physics, No. 52, Cambridge University Press, New York, 1961. MR 0120501
- Morton E. Gurtin and William O. Williams, An axiomatic foundation for continuum thermodynamics, Arch. Rational Mech. Anal. 26 (1967), 83–117. MR 214335, DOI https://doi.org/10.1007/BF00285676 M. E. Gurtin and W. O. Williams, On the Clausius-Duhem inequality, Z. Angew. Math. Phys. 17, 626–633 (1966)
- Robert D. Richtmyer and K. W. Morton, Difference methods for initial-value problems, 2nd ed., Interscience Tracts in Pure and Applied Mathematics, No. 4, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1967. MR 0220455
- E. C. Titchmarsh, The theory of functions, Oxford University Press, Oxford, 1958. Reprint of the second (1939) edition. MR 3155290
Retrieve articles in Quarterly of Applied Mathematics with MSC: 35.14
Retrieve articles in all journals with MSC: 35.14
Additional Information
Article copyright:
© Copyright 1969
American Mathematical Society