Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations with weak dissipation
Analysis of PDEs
2010-11-30 v1
Abstract
We consider mildly degenerate Kirchhoff equations with a small parameter and a weak dissipation term. We prove the existence of global solutions when the parameter is small with respect to the size of initial data. Then we provide global-in-time error estimates on the difference between the solution of our problem and the solution of the corresponding first order problem.
Keywords
Cite
@article{arxiv.1011.5967,
title = {Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations with weak dissipation},
author = {Marina Ghisi},
journal= {arXiv preprint arXiv:1011.5967},
year = {2010}
}