English

Time-Periodic Solutions of the Burgers Equation

Analysis of PDEs 2014-03-03 v1

Abstract

We investigate the time periodic solutions to the viscous Burgers equation utμuxx+uux=fu_t -\mu u_{xx} + uu_x = f for irregular forcing terms. We prove that the corresponding Burgers operator is a diffeomorphism between appropriate function spaces.

Keywords

Cite

@article{arxiv.1205.0780,
  title  = {Time-Periodic Solutions of the Burgers Equation},
  author = {Magnus Fontes and Olivier Verdier},
  journal= {arXiv preprint arXiv:1205.0780},
  year   = {2014}
}