A mathematical model of the linear thermodynamic equations with moving ends, based on the Stefan Problem is considered. In this work, we are interested in obtaining existence, uniqueness and regularity using the Faedo-Galerkin method. For numerical solutions, we shall employ the nite element method together with the Crank-Nicolson method. A numerical experiment is presented toshow the moving boundary for the problem.
@article{7412, title = {The Stefan problem with moving boundary - doi: 10.5269/bspm.v26i1-2.7412}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {23}, year = {2009}, doi = {10.5269/bspm.v26i1-2.7412}, language = {EN}, url = {http://dml.mathdoc.fr/item/7412} }
Rincon, Mauro Antonio; Scardua, A. The Stefan problem with moving boundary - doi: 10.5269/bspm.v26i1-2.7412. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v26i1-2.7412. http://gdmltest.u-ga.fr/item/7412/