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Online ISSN 1552-4485; Print ISSN 0033-569X
On the material time derivative of arbitrary order
Author:
L. N. Tao
Journal:
Quart. Appl. Math. 36 (1978), 323-324
MSC:
Primary 26B05; Secondary 76B99
DOI:
https://doi.org/10.1090/qam/508776
MathSciNet review:
508776
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Abstract | References | Similar Articles | Additional Information
Abstract: The material time derivative of arbitrary order of a function of space and time is established. In the case of a function of a single space variable, it is reduced to Faa de Bruno’s formula for derivatives of a function of a function.
- Daniel D. Joseph and Roger L. Fosdick, The free surface on a liquid between cylinders rotating at different speeds. I, Arch. Rational Mech. Anal. 49 (1972/73), 321–380. MR 353817, DOI https://doi.org/10.1007/BF00253044
- L. N. Tao, The Stefan problem with arbitrary initial and boundary conditions, Quart. Appl. Math. 36 (1978/79), no. 3, 223–233. MR 508769, DOI https://doi.org/10.1090/S0033-569X-1978-0508769-2
- Charles Jordan, Calculus of finite differences, 3rd ed., Chelsea Publishing Co., New York, 1965. Introduction by Harry C. Carver. MR 0183987
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Article copyright:
© Copyright 1978
American Mathematical Society