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math.CA2019
Auxiliary functions in the study of Stefan-like problems with variable thermal properties
Andrea N. Ceretani, Natalia N. Salva, Domingo A. Tarzia
We address the existence and uniqueness of the so-called modified error function that arises in the study of phase-change problems with specific heat and thermal conductivity given…
math.AP2019
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…