Asymptotic behaviour of solutions to fractional diffusion-convection equations
Analysis of PDEs
2022-12-07 v4
Abstract
We consider a convection-diffusion model with linear fractional diffusion in the sub-critical range. We prove that the large time asymptotic behavior of the solution is given by the unique entropy solution of the convective part of the equation. The proof is based on suitable a-priori estimates, among which proving an Oleinik type inequality plays a key role.
Keywords
Cite
@article{arxiv.1703.02908,
title = {Asymptotic behaviour of solutions to fractional diffusion-convection equations},
author = {Liviu Ignat and Diana Stan},
journal= {arXiv preprint arXiv:1703.02908},
year = {2022}
}
Comments
24p, typos corrected