Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients

Publication date: February 2020Source: Nonlinear Analysis: Real World Applications, Volume 51Author(s): Julieta Bollati, María F. Natale, José A. Semitiel, Domingo A. TarziaAbstractOne dimensional Stefan problems for a semi-infinite material with temperature dependent thermal coefficients are considered. Existence and uniqueness of solution are obtained imposing a Dirichlet, a Neumann or a Robin type condition at fixed face x=0. Moreover, it is proved that the solution of the problem with the Robin type condition converges to the solution of the problem with the Dirichlet condition at the fixed face. Computational examples are provided.

Source: Nonlinear Analysis: Real World Applications - August 23, 2019 Category: Research Source Type: research