Relative entropy in diffusive relaxation
Analysis of PDEs
2021-03-22 v2
Abstract
We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum. The result is based on a Lyapunov type of functional provided by a calculation of the relative entropy. The relative entropy method is also employed to establish convergence from entropic weak solutions of viscoelasticity with memory to the system of viscoelasticity of the rate-type.
Cite
@article{arxiv.1209.2843,
title = {Relative entropy in diffusive relaxation},
author = {Corrado Lattanzio and Athanasios E. Tzavaras},
journal= {arXiv preprint arXiv:1209.2843},
year = {2021}
}
Comments
Updated to Authors' Accepted Manuscript version