English

H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System

Analysis of PDEs 2018-04-13 v1

Abstract

Adapting the convex integration technique introduced by De Lellis and Sz{\'e}kelyhidi, we construct H\"{o}lder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity.

Cite

@article{arxiv.1804.04285,
  title  = {H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System},
  author = {Tianwen Luo and Zhouping Xin},
  journal= {arXiv preprint arXiv:1804.04285},
  year   = {2018}
}
R2 v1 2026-06-23T01:21:11.080Z