Global Existence of Weak Solutions to the Compressible Navier-Stokes Equations with Vacuum

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18142832
Cited by: 0

Abstract

We establish global weak solvability for the degenerate compressible Navier-Stokes system with vanishing density via a renormalized defect measure approach. The analysis relies on compactness of the effective viscous flux and commutator estimates in Orlicz-Sobolev spaces.

Fields of Study & Subjects

Navier-Stokes equation solutions Stability and Controllability of Differential Equations Advanced Mathematical Physics Problems

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026