22 citations · 32 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
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…
On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities
Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg
In this note, we prove that the minimal and maximal solution maps associated to elliptic quasi-variational inequalities of obstacle type are directionally differentiable with respe…
Analysis of a quasi-variational contact problem arising in thermoelasticity
Amal Alphonse, Carlos N. Rautenberg, José Francisco Rodrigues
We formulate and study two mathematical models of a thermoforming process involving a membrane and a mould as implicit obstacle problems. In particular, the membrane-mould coupling…
On a Fractional Version of a Murat Compactness Result and Applications
Harbir Antil, Carlos N. Rautenberg, Armin Schikorra
The paper provides an extension, to fractional order Sobolev spaces, of the classical result of Murat and Brezis which states that the positive cone of elements in comp…
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…