23 citations · 130 across the 23 of their papers we have counts for
9 papers · 2 filters
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…
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 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…