The movable interior boundary identification model of the multi-domain coupled system and its properties and application

This paper presents the distributed parameter identification model of the Arctic ice thickness variation based on the observed temperature and the temperature field distributed characteristics of the Arctic snow-ice-ocean. The weak solutionpsilas existence of the coupled dynamical system, its continuity on the movable interior boundary (i.e. the ice layer thickness) and the model identifiability are discussed. The optimistic algorithm is constructed. Furthermore, the numerical simulation and the variation of the ice thickness have been given.