23 citations · 130 across the 23 of their papers we have counts for
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Existence and uniqueness of solutions of a class of 3rd order dissipative problems with various boundary conditions describing the Josephson effect
Monica De Angelis, Gaetano Fiore
We prove existence and uniqueness of solutions of a large class of initial-boundary-value problems characterized by a quasi-linear third order equation (the third order term being…
Existence and uniqueness results for a class of non linear models
M. De Angelis, A. Maio, E. Mazziotti
The qualitative analysis of the initial value problem P related to a non linear third order parabolic equation typical of diffusive models is discussed. Some basic properties of th…
Asymptotic analysis for the strip problem related to a parabolic third - order operator
M. De Angelis
Aim of this paper is the qualitative analysis of a boundary value problem for a third order non linear parabolic equation which describes several dissipative models. When the sourc…
Diffusion and wave behaviour in linear Voigt model
Monica De Angelis, Pasquale Renno
A boundary value problem related to a third- order parabolic equation with a small parameter is analized. This equation models the one-dimensional evolution of many dissipative med…
On fast and slow times in models with diffusion
M. De Angelis, A. M. Monte, P. Renno
The linear Kelvin{Voigt operator L_εis a typical example of wave operator L_0 perturbed by higher-order viscous terms as \epsilonu_xxt. If Pεis a prefixed boundary value problem fo…
Non linear problems in dissipative models
M. De Angelis, G. Fiore. P. Renno
Aim of the paper is the qualitative analysis of a quasi-linear parabolic third order equation, which describes the evolution in a large class of dissipative models. As examples of…
Non linear travelling waves with diffusion
M. De Angelis, E. Mazziotti
A third order parabolic operator L_εtypical of a non linear wave operator cal L_0 perturbed by viscous terms, is analyzed. Some particular solutions related to L_0 are explicitly d…
On hereditary models of polymers
M. De Angelis
An equivalence between an integro-differential operator M and an evolution operator Ln is determined. From this equivalence the fundamental solution of Ln is estimated in terms of…
Wave hierarchies in viscoelasticity
M. De Angelis, P. Massarotti, P. Renno
An evolution operator L_n with n arbitrary, typical of several models, is analyzed. When n= 1, the operator characterizes the standard linear solid of viscoelasticity, whose proper…
On a Model of Superconductivity and Biology
Monica De Angelis
The paper deals with a semilinear integrodifferential equation that characterizes several dissipative models of Viscoelasticity, Biology and Superconductivity. The initial - bounda…
Existence, uniqueness and a priori estimates for a non linear integro-differential equation
M. De Angelis, P. Renno
The paper deals with the explicit calculus and the properties of the fundamental solution K of a parabolic operator related to a semilinear equation that models reaction diffusion…
On the Fitzhugh-Nagumo model
M. De Angelis, P. Renno
The initial value problem P0, in all of the space, for the spatio - temporal FitzHugh - Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by mea…
On exponentially shaped Josephson junctions
Monica De Angelis
The paper deals with a third order semilinear equation which char- acterizes exponentially shaped Josephson junctions in superconductivity. The initial-boundary problem with Dirich…