English

Large time behaviour for a nonlocal diffusion - convection equation related with the gas dynamics

Analysis of PDEs 2013-06-10 v1

Abstract

In this paper we consider a model that involves nonlocal diffusion and a classical convective term. Using a scaling argument and a new compactness argument we obtain the first term in the asymptotic behavior of the solutions.

Keywords

Cite

@article{arxiv.1306.1797,
  title  = {Large time behaviour for a nonlocal diffusion - convection equation related with the gas dynamics},
  author = {Liviu I. Ignat and Ademir Pazoto},
  journal= {arXiv preprint arXiv:1306.1797},
  year   = {2013}
}