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Mathematical Problems in Engineering
Volume 2014, Article ID 540379, 13 pages
Research Article

Parameter Identification for Salinity in a Quasilinear Thermodynamic System of Sea Ice

1Department of Mathematics, Shanghai University, Shanghai 200444, China
2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

Received 19 March 2014; Accepted 20 June 2014; Published 14 July 2014

Academic Editor: Haipeng Peng

Copyright © 2014 Wei Lv et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study is intended to provide a parameter identification method to determine salinity of sea ice by temperature and salinity observations. A quasilinear thermodynamic system of sea ice with unknown salinity is described and its property is proved. Then, a parameter identification model is established and the existence of its optimal solution is discussed. The salinity profile is calculated by the temperature and salinity data, which were measured at Nella Fjord around Zhongshan Station, Antarctica, during the polar night time by the 22nd Chinese Antarctic Research Expedition. Another simulation for temperature profiles during different measurement periods is operated. Results show that better simulations of the salinity and temperature distribution are possible with the estimated parameters than Eicken’s (Eicken 1992) and THESCI’s (Lv et al. 2009). This method will help people understand the salinity evolution of sea ice more thoroughly.