Non linear travelling waves with diffusion

Details Non linear travelling waves with diffusion Non linear travelling waves with diffusion

2012-03-04

arxiv.org/abs/1203.0727v1

Rend Acc Sc Fis Mat Napoli Vol LXXIII 2006 , 23-36

Physics

Mathematical Physics

Scientific paper

A third order parabolic operator L_\epsilon typical 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_\epsilon is considered. The parabolic-hyperbolic behaviour is
analyzed and rigorous approximations of the solution are achieved.

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