10 citations · 23 across the 14 of their papers we have counts for
16 papers
A function space approach to the shape optimization of the Boussinesq system
Andrea Ceretani, Weiwei Hu, Lin Mu +1
We investigate a shape optimization problem for a heat-conducting fluid governed by a Boussinesq system. The main goal is to determine an optimal domain shape that yields a tempera…
Exact solutions for the fractional nonlinear Boussinesq equation
A. Ceretani, F. Falcini, R. Garra
We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We s…
The Spatially Variant Fractional Laplacian
Andrea N. Ceretani, Carlos N. Rautenberg
We introduce a definition of the fractional Laplacian with spatially variable order and study the solvability of the associated Poisson problem on…
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…
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…
A note on models for anomalous phase-change processes
Andrea N. Ceretani
We review some fractional free boundary problems that were recently considered for modeling anomalous phase-transitions. All problems are of Stefan type and involve fractional deri…