The well-posedness of a hyperbolic Stefan problem
Abstract
Stefan-type problems for the classical hyperbolic heat-transfer model described by Solomon et al. (1986) are investigated analytically. The existence and uniqueness of local solutions for the initial/boundary Stefan problem are proved; the global existence of solutions is demonstrated for certain assumptions on the data; and the two-phase Stefan problem is briefly characterized.
- Publication:
-
Quarterly of Applied Mathematics
- Pub Date:
- June 1989
- Bibcode:
- 1989QApMa..47..221L
- Keywords:
-
- Free Boundaries;
- Heat Transfer;
- Hyperbolic Functions;
- Phase Transformations;
- Stefan-Boltzmann Law;
- Cauchy Problem;
- Convergence;
- Linearization;
- Fluid Mechanics and Heat Transfer