English

Stagnation, Creation, Breaking

Analysis of PDEs 2014-02-12 v1

Abstract

This note deals with the mono-dimensional equation: \dtu\dxL(ux)=f\d_t u -\d_x L(u_x) =f with L()L(\cdot) merely monotone. The goal is to examine the features of facets -- flat regions of graphs of solutions appearing as L()L(\cdot) suffers jumps. We concentrate on examples explaining strong stability, creation and even breaking of facets.

Keywords

Cite

@article{arxiv.1402.2450,
  title  = {Stagnation, Creation, Breaking},
  author = {Piotr B. Mucha},
  journal= {arXiv preprint arXiv:1402.2450},
  year   = {2014}
}
R2 v1 2026-06-22T03:05:33.488Z