English

Weak solutions of 3D compressible Navier-Stokes equations in critical case

Analysis of PDEs 2023-06-14 v1

Abstract

New estimates of the potentials of solutions to the compressible Navier-Stokes equations are derived. The result obtained are applied to boundary value problems for the compressible Navier-Stokes equations with the critical adiabatic exponents. The cancelation of concentrations of the kinetic energy density is proved

Keywords

Cite

@article{arxiv.2212.07031,
  title  = {Weak solutions of 3D compressible Navier-Stokes equations in critical case},
  author = {Pavel I. Plotnikov},
  journal= {arXiv preprint arXiv:2212.07031},
  year   = {2023}
}