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Luisa Consiglieri

  1. A limit model for thermoelectric equations.

    Пнд, 02/08/2010 - 16:01 — SomNambul
    Authors: Luisa Consiglieri
    Subjects: Analysis of PDEs
    Abstract

    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 thermistor problem, considering the Joule effect
    and both spatial and temperature dependent transport coefficients under some
    real boundary conditions in accordance with the Seebeck-Peltier-Thomson
    cross-effects. Our first purpose is that the existence of a weak solution holds
    true under minimal assumptions on the data, as in particular convex domains
    with Lipschitz boundary.

  2. Partial regularity for the Navier-Stokes-Fourier system.

    Втр, 10/27/2009 - 16:01 — SomNambul
    Authors: Luisa Consiglieri
    Subjects: Analysis of PDEs
    Abstract

    This paper addresses a nonstationary flow of heat-conductive incompressible
    Newtonian fluid with temperature-dependent viscosity coupled with linear heat
    transfer with advection and a viscous heat source term, under homogeneous
    Dirichlet boundary conditions. The partial regularity for the velocity of the
    fluid is proved to each proper weak solution, that is, for such weak solutions
    which satisfy some local energy estimates in a similar way to the suitable weak
    solutions of the Navier-Stokes system.

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

    Пт, 08/28/2009 - 23:56 — SomNambul
    Authors: Luisa Consiglieri
    Subjects: Analysis of PDEs
    Abstract

    The existence of proper weak solutions of the Dirichlet-Cauchy problem
    constituted by the Navier-Stokes-Fourier system which characterizes the
    incompressible homogeneous Newtonian fluids under thermal effects is studied.
    We call proper weak solutions such weak solutions that verify some local energy
    inequalities in analogy with the suitable weak solutions for the Navier-Stokes
    equations. Finally, we deal with some regularity for the temperature.

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