Proposition And Domain Identification In Distributed Parameter System Of Sea-Ice

Considering the practical background of the Artic sea ice temperature field and thermodynamic proposition,this paper establishes parabolic distributed parameter system with time-dependent domain of sea ice thermodynamic model and parameter identification model about the thickness of snow and ice, and discusses unique existence of this system and ncessary condition of optimal parameters. That work can not only accelerate the research parabolic distributed system with time-dependent domain of sea ice thermodynamic model, but also provide basic theoretical reference for numerical simulation. Therefore, that research work has important theoretical meaning and practical value.Chapter 1 reviews the progress and research value of the parameter identification and optimal control of distributed parameter system, and includes many achievements by scholars home and abroad in the field of researching the Arctic sea ice and parabolic distributed parameter system with time-dependent domain. Chapter 2 mainly discusses the basic acknowledge of Sobolve space and Banach space differential, and also discusses basic theory of paremeter identificaiton and optimal control of parabolic distributed parameter system. In Chapter 3, presents the main study results of this dissertation, which can be summarized as follows:Artic sea ice is a coupled system with snow, ice and sea water, and its domain interor is changing with time. On the basis of the thermodynamic propositon of Artie sea ice and previous system of this process, this paper considers the doamin change, establishes parabolic distributed parameter system with time-dependent domain. The minizaiton square of numerical results and mesured temperature is taken as objective functional, esteblishes a optimal control model on the thickness of snow and ice.This distributed parameter system which is goven by parabolic partial equation is converted to a type of distributed parameter system which is governed by the evolution equation. discusses the unique existence of the solution of this system and the necessary conditions of the optimal peremeter.This dissertation ,based on the mesured data of the second science examination of china at Actic, disertes the system . half implicit difference scheme is proposed to solve the differential equation and worked out by C++ language.