Abstract
This study is intended to provide the mathematical foundation for the numerical computation of the parameter identification problems of the three-dimensional two-layer thermodynamic system of sea ice. The non-smooth thermodynamic system with mixed boundary conditions is established, its properties are obtained and the first-order necessary conditions of the parameter identification problem of the non-smooth system are derived.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Haskell, T.: What’s so important about sea ice? Water & Atmosphere 11(3), 28–29 (2003)
Wolff, E.: Whither Antarctic sea ice? Science 302, 1164 (2003)
Laxon, S., Peacock, N., Smith, D.: High interannual variability of sea ice thickness in the Arctic region. Nature 425, 947–950 (2003)
Maykut, G.A., Untersteiner, N.: Some results from a time-dependent thermodynamic model of sea ice. J. Geophys. Res. 76, 1550–1575 (1971)
Gabison, R.: A thermodynamic model of the formation growth and decay of first-year sea ice. J. Glaciol. 33, 105–109 (1987)
Ebert, E.E., Curry, J.A.: An intermediate one-dimensional thermodynamic sea-ice model for investigating ice-atmosphere interaction. J. Geophys. Res. 98(C6), 10085–10109 (1993)
Cheng, B.: On the numerical resolution in a thermodynamic sea-ice model. J. Glaciol. 48(161), 301–311 (2002)
Reid, T., Crout, N.: A thermodynamic model of freshwater Antarctic lake ice. Ecol. Model. 210, 231–241 (2008)
Shidfar, A., Karamali, G.R.: Numerical solution of inverse heat conduction problem with nonstationary measurements. Appl. Math. Comput. 168(1), 540–548 (2005)
Li, G.S.: Data compatibility and conditional stability for an inverse source problem in the heat equation. Appl. Math. Comput. 173, 566–581 (2006)
Shidfar, A., Karamali, G.R., Damirchi, J.: An inverse heat conduction problem with a nonliear source term. Nonlinear Anal. 65, 615–621 (2006)
Ikehata, M.: An inverse source problem for the heat equation and the enclosure method. Inverse Probl. 23, 183–202 (2007)
Christov, C.I., Marinov, T.: Identification of heat-conduction coefficient via method of variational imbedding. Math. Comput. Modell. 27(3), 109–116 (1998)
Engl, H.W., Zou, J.: A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction. Inverse Probl. 16, 1907–1923 (2000)
Telejko, T., Malinowski, A.: Application of an inverse solution to the thermal conductivity identification using the finite element method. J. Mater. Process. Technol. 146, 145–155 (2004)
Lv, W., Feng, E., Li, Z.: A coupled thermodynamic system of sea ice and its parameter identification. Appl. Math. Modell. 32, 1198–1207 (2008)
Lv, W., Feng, E., Lei, R.: Parameter Identification for a Nonlinear Thermodynamic System of Sea Ice. International Journal of Thermal Sciences 48, 195–203 (2009)
Wang, Y.: L 2 Theories on Patial Differential Equation. Beijing University Press, Beijing (1989)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Copyright information
© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Lv, W., Bao, H., Feng, E. (2009). Optimality Conditions of a Three-Dimension Non-smooth Thermodynamic System of Sea Ice. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-02466-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02465-8
Online ISBN: 978-3-642-02466-5
eBook Packages: Computer ScienceComputer Science (R0)