On the temperature distribution in cold ice
James N. Flavin; Salvatore Rionero
- Volume: 8, Issue: 4, page 299-312
- ISSN: 1120-6330
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topFlavin, James N., and Rionero, Salvatore. "On the temperature distribution in cold ice." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 8.4 (1997): 299-312. <http://eudml.org/doc/244284>.
@article{Flavin1997,
abstract = {The linear heat equation predicts that the variations of temperature along a cold ice sheet \{i.e. at a temperature less than is freezing point) due to a sudden increase in air temperature, are very very slow. Based on this we represent the nonlinear evolution of an ice sheet as a sequence of steady states. As a first fundamental indication that this model is correct well posedness with respect to the variations of initial and boundary data is proved. Further an estimate of the error made in evaluating the thickness is given.},
author = {Flavin, James N., Rionero, Salvatore},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Cold ice; Nonlinear heat equation; Stability; gold ice; nonlinear heat equation; stability},
language = {eng},
month = {12},
number = {4},
pages = {299-312},
publisher = {Accademia Nazionale dei Lincei},
title = {On the temperature distribution in cold ice},
url = {http://eudml.org/doc/244284},
volume = {8},
year = {1997},
}
TY - JOUR
AU - Flavin, James N.
AU - Rionero, Salvatore
TI - On the temperature distribution in cold ice
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1997/12//
PB - Accademia Nazionale dei Lincei
VL - 8
IS - 4
SP - 299
EP - 312
AB - The linear heat equation predicts that the variations of temperature along a cold ice sheet {i.e. at a temperature less than is freezing point) due to a sudden increase in air temperature, are very very slow. Based on this we represent the nonlinear evolution of an ice sheet as a sequence of steady states. As a first fundamental indication that this model is correct well posedness with respect to the variations of initial and boundary data is proved. Further an estimate of the error made in evaluating the thickness is given.
LA - eng
KW - Cold ice; Nonlinear heat equation; Stability; gold ice; nonlinear heat equation; stability
UR - http://eudml.org/doc/244284
ER -
References
top- HUTTER, K., Theoretical Glaciology. D. Reidel, Dordrecht, The Netherlands, 1983. MR731259DOI10.1007/978-94-015-1167-4
- HOBBS, P. V., Ice Physics. Clarendon Press, Oxford1974.
- PAYNE, L. E. - STRAUGHAN, B., Error estimates for the temperature of a piece of cold ice, given data on only part of the boundary. Nonlinear Analysis, Theory, Methods and Applications, vol. 14, n. 5, 1990, 443-452. Zbl0698.35080MR1041508DOI10.1016/0362-546X(90)90085-U
- RIONERO, S. - MAIELLARO, M., On the stability of Couette-Poiseuille flows in the anisotropic MHD via the Liapunov Direct Method. Rend. Acc. Sc. Fis. Mat. Napoli, vol. LXX, 1995, 315-332. Zbl1162.76348MR1419293
- FLAVIN, J. - RIONERO, S., Qualitative Estimates for Partial Differential Equations. CRC Press, Boca Raton (Florida)1996. Zbl0862.35001MR1396085
- CARSLAW, H. S. - JAGER, S. C., Conduction of Heat in Solids. 2nd ed., Clarendon Press, Oxford1959. Zbl0029.37801
- RIONERO, S., Stability results for hyperbolic and parabolic equations. In: Proceedings of the II Int. Workshop on Nonlinear Kinetic Theories and Mathematical Aspects of Hyperbolic Systems (S. Remo, 26-30 sept. 1994). Transport Theory and Statistical Physics, 25 (3-5), 1996, 323-337. Zbl0872.35012MR1407538DOI10.1080/00411459608220704
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