English

Non-unique stationary solutions of even active scalar equations

Analysis of PDEs 2024-03-26 v1

Abstract

We study a class of active scalar equations with even non-local operator in the drift term. Non-trivial stationary weak solutions in the space C0C^{0-} are constructed using the iterative convex integration approach.

Keywords

Cite

@article{arxiv.2403.16800,
  title  = {Non-unique stationary solutions of even active scalar equations},
  author = {Mimi Dai and Chao Wu},
  journal= {arXiv preprint arXiv:2403.16800},
  year   = {2024}
}