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

DOI10.1007/s00021-023-00786-8arXiv2212.07031MaRDI QIDQ6161778

P. I. Plotnikov

Publication date: 5 June 2023

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07031

zbMATH Keywords

boundary value problemcritical adiabatic exponentpotential estimatekinetic energy concentration problem

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Cites Work

• Existence of global solutions for 2-dimensional viscous compressible flows
• Hausdorff dimension of concentration for isentropic compressible Navier-Stokes equations
• Weak solutions for compressible isentropic Navier-Stokes equations in dimensions three
• Isothermal Navier--Stokes Equations and Radon Transform
• On the existence of globally defined weak solutions to the Navier-Stokes equations
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