22 citations
5 papers
Existence, Uniqueness and Convergence of Simultaneous Distributed-Boundary Optimal Control Problems
Claudia M. Gariboldi, Domingo A. Tarzia
We consider a steady-state heat conduction problem for the Poisson equation with mixed boundary conditions in a bounded multidimensional domain . We also consider a family o…
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…
Modeling water uptake by a root system growing in a fixed soil volume
J. L. Blengino Albrieu, J. C. Reginato, D. A. Tarzia
The water uptake by roots of plants is examined for an ideal situation, with an approximation that resembles plants growing in pots, meaning that the total soil volume is fixed. We…
Explicit solutions for the Solomon-Wilson-Alexiades's mushy zone model with convective or heat flux boundary conditions
Domingo Alberto Tarzia
We complete the Solomon-Wilson-Alexiades's mushy zone model (Letters Heat Mass Transfer, 9 (1982), 319-324) for the one-phase Lamé-Clapeyron-Stefan problem. We obtain explicit solu…
Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source
Andrea N. Ceretani, Domingo A. Tarzia, Luis T. Villa
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition at th…