Global-in-time well-posedness of the compressible Navier-Stokes equations with striated density

X Liao, SM Zodji - arXiv preprint arXiv:2405.11900, 2024 - arxiv.org
We first show local-in-time well-posedness of the compressible Navier-Stokes equations,
assuming striated regularity while no other smoothness or smallness conditions on the initial …

Discontinuous solutions for the Navier–Stokes equations with density-dependent viscosity

SM Zodji - Annales de l'Institut Henri Poincaré C, 2024 - ems.press
Discontinuous solutions for the Navier–Stokes equations with density-dependent viscosity Page
1 Ann. Inst. H. Poincaré C Anal. Non Linéaire (Online first) DOI 10.4171/AIHPC/145 © 2024 …

Weak solutions to the Navier-Stokes equations for steady compressible non-Newtonian fluids

C Burtea, M Szlenk - arXiv preprint arXiv:2401.05328, 2024 - arxiv.org
We prove the existence of weak solutions to steady, compressible non-Newtonian Navier-
Stokes system on a bounded, two-or three-dimensional domain. Assuming the viscous …