Abstract : The only source of ice formation in the Arctic during summer is a layer of ice called false-bottoms between an under-ice melt pond and the underlying ocean. Of interest is to give a mathematical model in order to determine the simultaneous growth and ablation of false-bottoms, which is governed by both of heat fluxes and salt fluxes. In one dimension, this problem may be considered mathematically as a two-phase Stefan problem with two free boundaries. Our main result is to prove the existence and uniqueness of the solution from the initial condition.
https://hal.archives-ouvertes.fr/hal-00297325 Contributor : Alain Pham Ngoc DinhConnect in order to contact the contributor Submitted on : Wednesday, November 23, 2011 - 2:54:05 PM Last modification on : Tuesday, October 12, 2021 - 5:20:09 PM Long-term archiving on: : Friday, February 24, 2012 - 2:27:12 AM