Non linear travelling waves with diffusion
Mathematical Physics
2012-03-06 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1203.0727,
title = {Non linear travelling waves with diffusion},
author = {M. De Angelis and E. Mazziotti},
journal= {arXiv preprint arXiv:1203.0727},
year = {2012}
}