English

Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

Analysis of PDEs 2007-05-23 v1

Abstract

The large time behavior of solutions to Cauchy problem for viscous Hamilton-Jacobi equation is classified. The large time asymptotics are given by very singular self-similar solutions on one hand and by self-similar viscosity solutions on the other hand

Keywords

Cite

@article{arxiv.0704.1207,
  title  = {Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations},
  author = {Said Benachour and Grzegorz Karch and Philippe Laurençot},
  journal= {arXiv preprint arXiv:0704.1207},
  year   = {2007}
}