23 citations · 130 across the 23 of their papers we have counts for
25 papers
Hydrodynamic regime and cold plasmas hit by short laser pulses
Gaetano Fiore, Monica De Angelis, Renato Fedele +2
We briefly report and elaborate on some conditions allowing a hydrodynamic description of the impact of a very short and arbitrarily intense laser pulse onto a cold plasma, as well…
Transport Phenomena in Excitable Systems: Existence of Bounded Solutions and Absorbing Sets
Monica De Angelis
In this paper, the transport phenomena of synaptic electric impulses are considered. The FitzHugh--Nagumo and FitzHugh--Rinzel models appear mathematically appropriate for evaluati…
Hopf bifurcations in dynamics of excitable systems
Monica De Angelis
A general FitzHugh-Rinzel model, able to describe several neuronal phenomena, is considered. Linear stability and Hopf bifurcations are investigated by means of the spectral equati…
Hydrodynamic impacts of short laser pulses on plasmas
Gaetano Fiore, Monica De Angelis, Renato Fedele +2
We determine conditions allowing to simplify the description of the impact of a short and arbitrarily intense laser pulse onto a cold plasma at rest. If both the initial plasma den…
A priori estimates for solutions of FitzHugh-Rinzel system
Monica De Angelis
The FitzHugh-Rinzel system is able to describe some biophysical phenomena, such as bursting oscillations, and the study of its solutions can help to better understand several behav…
On solutions related to FitzHugh-Rinzel type model
Fabio De Angelis, Monica De Angelis
A ternary autonomous dynamical system of FitzHugh-Rinzel type is analyzed. The system, at start, is reduced to a nonlinear integro differential equation. The fundamental solution $…
On the transition from parabolicity to hyperbolicity for a nonlinear equation under Neumann boundary conditions
Monica De Angelis
An integro differential equation which is able to describe the evolution of a large class of dissipative models, is considered. By means of an equivalence, the focus shifts to the…
Mathematical Contributions to the Dynamics of the Josephson Junctions: State of the Art and Open Problems
Monica De Angelis
Mathematical models related to some Josephson junctions are pointed out and attention is drawn to the solutions of certain initial boundary problems and to some of their estimates.…
Asymptotic estimates related to an integro differential equation
M. De Angelis
The paper deals with an integrodifferential operator which models numerous phenomena in superconductivity, in biology and in viscoelasticity. Initialboundary value problems with Ne…
On asymptotic effects of boundary perturbations in exponentially shaped Josephson junctions
Monica De Angelis, Pasquale Renno
A parabolic integro differential operator L, suitable to describe many phenomena in various physical fields, is considered. By means of equivalence between L and the third order eq…
On a parabolic operator of dissipative systems
Monica De Angelis
A parabolic integro differential operator operator L suitable to describe many phenomena in various physical fields,is considered. By means of equivalence between L and the third o…
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…