English

On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data

Analysis of PDEs 2020-10-20 v1

Abstract

Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux and with initial data being a sum of periodic function and a function vanishing at infinity (in the sense of measure).

Keywords

Cite

@article{arxiv.2010.08752,
  title  = {On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data},
  author = {Evgeny Yu. Panov},
  journal= {arXiv preprint arXiv:2010.08752},
  year   = {2020}
}