English

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

Analysis of PDEs 2019-08-27 v2

Abstract

Through an adaption of the convex integration scheme in the two dimensional case, the non-uniqueness of Ct0Lx2C^0_t L^2_x weak solutions is presented for the two-dimensional hypoviscous incompressible Navier-Stokes equations.

Keywords

Cite

@article{arxiv.1908.06005,
  title  = {Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations},
  author = {Tianwen Luo and Peng Qu},
  journal= {arXiv preprint arXiv:1908.06005},
  year   = {2019}
}
R2 v1 2026-06-23T10:49:11.806Z