A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity

Details A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity

2010-11-18

arxiv.org/abs/1011.4314v2

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneous third type boundary conditions. The system couples a quasilinear internal energy balance ruling the evolution of the absolute temperature with a vectorial integro-differential inclusion governing the (vectorial) phase-parameter dynamics. The specific heat and the heat conductivity are allowed to depend both on the order parameter and on the absolute temperature of the system, and the convex component of the free energy may or may not be singular. Uniqueness and continuous data dependence are also proved under additional assumptions.

Affiliated with

Also associated with

No associations

Rating

A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity 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 A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116625