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On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions
Rafael Arndt, Andrea N. Ceretani, Carlos N. Rautenberg
We study a Boussinesq system in a bounded domain with an outlet boundary portion where fluid can leave or re-enter. On this boundary part, we consider a do-nothing condition for th…
An exact solution to a Stefan problem with variable thermal conductivity and a Robin boundary condition
Andrea N. Ceretani, Natalia N. Salva, Domingo A. Tarzia
In this article it is proved the existence of similarity solutions for a one-phase Stefan problem with temperature-dependent thermal conductivity and a Robin condition at the fixed…
Determination of one unknown thermal coefficient through a mushy zone model with a convective overspecified boundary condition
Andrea N. Ceretani, Domingo A. Tarzia
A semi-infinite material under a solidification process with the Solomon-Wilson- Alexiades's mushy zone model with a heat flux condition at the fixed boundary is considered. The as…