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A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem
Monica De Angelis
A Neumann problem for a wave equation perturbed by viscous terms with small parameters is considered. The interaction of waves with the diffusion effects caused by a higher-order d…
On diffusion effects of the perturbed sine-Gordon equation with Neumann boundary conditions
Monica De Angelis
The Neumann boundary problem for the perturbed sine-Gordon equation describing the electrodynamics of Josephson junctions has been considered. The behavior of a viscous term, descr…
A priori estimates for excitable models
M. De Angelis
The reaction-diffusion system of Fitzhugh Nagumo is considered. The initial- boundary problems with Neumann and Dirichlet conditions are analyzed. By means of an equivalent semilin…
Parabolic - hyperbolic boundary layer
Monica De Angelis
A boundary value problem related to a parabolic higher order operator with a small parameter is analized. When the small parameter tends to zero, the reduced operator is hyperbolic…
On a non linear third - order parabolic equation
Monica De Angelis
Aim of this paper is the qualitative analysis of the solution of a boundary value problem for a third-order non linear parabolic equation which describes several dissipative models…