Well-posedness of an extended model for water-ice phase transitions

Details Well-posedness of an extended model for water-ice phase transitions Well-posedness of an extended model for water-ice phase transitions

2011-05-30

arxiv.org/abs/1105.5944v1

Mathematics

Analysis of PDEs

Scientific paper

We propose an improved model explaining the occurrence of high stresses due to the difference in specific volumes during phase transitions between water and ice. The unknowns of the resulting evolution problem are the absolute temperature, the volume increment, and the liquid fraction. The main novelty here consists in including the dependence of the specific heat and of the speed of sound upon the phase. These additional nonlinearities bring new mathematical difficulties which require new estimation techniques based on Moser iteration. We establish the existence of a global solution to the corresponding initial-boundary value problem, as well as lower and upper bounds for the absolute temperature. Assuming constant heat conductivity, we also prove uniqueness and continuous data dependence of the solution.

Affiliated with

Also associated with

No associations

Rating

Well-posedness of an extended model for water-ice phase transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Well-posedness of an extended model for water-ice phase transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Well-posedness of an extended model for water-ice phase transitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-678230