arXiv subjects

E. Mazziotti

Publications and source records attributed to E. Mazziotti.

2 recordsLinked to original sources

arXiv2012

Existence and uniqueness results for a class of non linear models

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 the the fundamental solution of a related linear operator are determined and are applied to an equivalent integro differential formulation of the problem. By the fixed point theorem, existence and uniqueness results are obtained

math-ph↗

arXiv2012

Non linear travelling waves with diffusion

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 determined and the initial value problem for L_εis considered. The parabolic-hyperbolic behaviour is analyzed and rigorous approximations of the solution are achieved.

math-ph↗