On the energy inequality for weak solutions to the Navier-Stokes equations of compressible fluids on unbounded domains

DOI10.1016/j.na.2015.07.031zbMath1328.35148OpenAlexW1173185205WikidataQ59316469 ScholiaQ59316469MaRDI QIDQ888865

Filippo Dell'Oro, Eduard Feireisl

Publication date: 2 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.07.031

zbMATH Keywords

weak solutionsunbounded domaincompressible Navier-Stokes equationsenergy inequality

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Inviscid incompressible limits for rotating fluids ⋮ On the energy inequality for weak solutions to the three-dimensional compressible magnetohydrodynamic equations

Cites Work

• On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
• Elliptic partial differential equations of second order
• Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
• Large-time behaviour of solutions to the Navier-Stokes equations of compressible flow
• On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains
• On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
• Singular limits in thermodynamics of viscous fluids
• On the existence of globally defined weak solutions to the Navier-Stokes equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the energy inequality for weak solutions to the Navier-Stokes equations of compressible fluids on unbounded domains