activity
20092023
most citedExplicit estimates for solutions of mixed elliptic problems

6 citations · 30 across the 13 of their papers we have counts for

collaborators

16 papers

math.AP2023

On the smallness conditions for a PEMFC single cell problem

Luisa Consiglieri

The aim of the present paper is to prove whose smallness conditions being necessary in order to get the final result of existence of a solution. In the first part, we present the m…

math.AP2022★ 1 cited

On the wellposedness for a fuel cell problem

Luisa Consiglieri

This paper investigates the existence of weak solutions to two problems set of elliptic equations in adjoining domains, with Beavers--Joseph--Saffman and regularized Butler--Volmer…

math.AP2020★ 1 cited

Compressible Navier-Stokes-Fourier flows at steady-state

Luisa Consiglieri

The heat conducting compressible viscous flows are governed by the Navier-Stokes-Fourier (NSF) system. In this paper, we study the NSF system accomplished by the Newton law of cool…

math.AP2018★ 3 cited

Weak solutions for multiquasilinear elliptic-parabolic systems. Application to thermoelectrochemical problems

Luisa Consiglieri

This paper investigates the existence of weak solutions of biquasilinear boundary value problem for a coupled elliptic-parabolic system of divergence form with discontinuous leadin…

math.AP2017★ 1 cited

Weak solutions for a thermoelectric problem with power-type boundary effects

Luisa Consiglieri

This paper deals with thermoelectric problems including the Peltier and Seebeck effects. The coupled elliptic and doubly quasilinear parabolic equations for the electric and heat c…

math.AP2014★ 4 cited

Sufficient conditions to the existence for solutions of a thermoelectrochemical problem

Luisa Consiglieri

A mathematical model of nonlinear radiation is introduced into a thermoelectrochemical problem, and its qualitative analysis is focused on existence of solutions. The main objectiv…

math.AP2014

Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions

Luisa Consiglieri

We investigate the regularity in () of the gradient of any weak solution of a Cauchy problem with mixed Neumann-power type boundary conditions. Under suitable assumption…

math.AP2014

Explicit estimates on a mixed Neumann-Robin-Cauchy problem

Luisa Consiglieri

We deal with the existence of weak solutions for a mixed Neumann-Robin-Cauchy problem. The existence results are based on global-in-time estimates of approximating solutions, and t…

math.HO2013★ 1 cited

Architectural form as space-time cell

Luisa Consiglieri, Vitor Consiglieri

The architecture has its basis in a dialectic search of new choices of representation. We deal with the form on the contemporary architecture under two approaches: expression and c…

math.AP2013★ 1 cited

Explicit estimates for solutions of nonlinear radiation-type problems

Luisa Consiglieri

We establish the existence of weak solutions of a nonlinear radiation-type boundary value problem for elliptic equation on divergence form with discontinuous leading coefficient. Q…

math.AP2013★ 6 cited

Explicit estimates for solutions of mixed elliptic problems

Luisa Consiglieri

We deal with the existence of quantitative estimates for solutions of mixed problems to an elliptic second order equation in divergence form with discontinuous coefficient. Our con…

math.AP2013★ 2 cited

Radiative effects on the thermoelectric problems

Luisa Consiglieri

There are two main directions in this paper. One is to find sufficient conditions to ensure the existence of weak solutions to thermoelectric problems. At the steady-state, these p…

math.AP2011★ 1 cited

Dynamic bilateral boundary conditions on interfaces

Luisa Consiglieri

Two boundary value problems for an elliptic equation in divergence form with bounded discontinuous coefficient are studied in a bidomain. On the interface, generalized dynamic boun…

math.AP2010★ 5 cited

A limit model for thermoelectric equations

Luisa Consiglieri

We analyze the asymptotic behavior corresponding to the arbitrary high conductivity of the heat in the thermoelectric devices. This work deals with a steady-state multidimensional…

math.AP2009★ 4 cited

Partial regularity for the Navier-Stokes-Fourier system

Luisa Consiglieri

This paper addresses a nonstationary flow of heat-conductive incompressible Newtonian fluid with temperature-dependent viscosity coupled with linear heat transfer with advection an…

math.AP2009

Existence of proper weak solutions to the Navier-Stokes-Fourier system

Luisa Consiglieri

The existence of proper weak solutions of the Dirichlet-Cauchy problem constituted by the Navier-Stokes-Fourier system which characterizes the incompressible homogeneous Newtonian…