We consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as stability are established. Moreover, a maximum principle is proved for the phase-field equation.

Jing Sun 1,*, Zheng Shi 2, Jian Chai 3, Guirong Xu 1 and Ben Niu 4 1 Hubei Key Laboratory for Heavy Rain Monitoring and Warning Research, Institute of Heavy Rain, China Meteorological Administration, Wuhan 430205, China; [email protected] 2 Key Laboratory for Aerosol Cloud-Precipitation, China Meteorological Administration, Nanjing University of Information Science and Technology, Nanjing 21004...

We consider a system of rotators subject to a small quasi-periodic forcing. We require the forcing to be analytic and satisfy a time-reversibility property and we assume its frequency vector to be Bryuno. Then we prove that, without imposing any nondegeneracy condition on the forcing, there exists at least one quasi-periodic solution with the same frequency vector as the forcing. The result can...

The purpose of this paper is to explore the relationship between case and free word order in Korean by providing proper LP constraints which solve the problems of the previous analyses such as Kuno's (1980) Crossing-Over Constraint (COC). Based on Cho & Chai (2000), we introduce a new type marker which includes case, postpositions, and delimiters. We also add the Adjunct LP Constraint and the A...

The present paper studies a discrete-time storage process with discrete states. This model has the inflow which is defined as independent random variables with a common negative binomial distribution and has the certain outflow discipline. Reversibility and quasi-reversibility for the process are investigated and the reversible measure is given. And thus, under a certain condition, it is shown ...