1,721,034 research outputs found
Free energies for incompressible viscoelastic fluids
No full textIn this work we consider some expressions for the free energy, already proposed and studied for viscoelastic solids, in order to adapt them to incompressible viscoelastic fluids. The internal dissipation, corresponding to each of these various forms of the free energy, is also evaluated. In particular, the form of the minimum free energy for the discrete spectrum model is also considered in order to show its equivalence with some classical free energies
Asymptotic behaviour in a conducting electromagnetic medium
No full textWe investigate the initial-boundary value problem for Maxwell's equations in linear conducting materials together with dissipative boundary conditions. We show that it is possible to introduce the free energy and derive from it a domain of dependence. We prove the existence, uniqueness and asymptotic stability of the solution when one of Maxwell's equations is considered as a constraint for the electromagnetic fields
The minimum free energy for an electromagnetic conductor
No full textWe consider the linear theory of the Electromagnetism characterized by a constitutive equation for the current density with memory effects. We find in the frequency domain a first expression of the minimum free energy, which is the maximum recoverable work we can obtain from a given state of the material. By using another equivalent formulation of the minimum free energy, we give the explicit formulae for the particular case of a discrete spectrum model material response
Asymptotic stability for a thermoelectromagnetic material
No full textIn this work we consider a linear thermoelectromagnetic material, whose behaviour is characterized by two rate-type equations for the heat flux and the electric current density. We derive the restrictions imposed by the laws of thermodynamics on the constitutive equations and introduce the free energy which yields the existence of a domain of dependence. Uniqueness, existence and asymptotic stability theorems are then proved
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