On weak \(D\)-solutions to the non-stationary Navier-Stokes equations in a three-dimensional exterior domain

DOI10.1007/s11565-013-0199-3zbMath1302.35297OpenAlexW1984846769MaRDI QIDQ467167

Paolo Maremonti

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-013-0199-3

zbMATH Keywords

Navier-Stokes equationsweak solutions\(D\)-solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (2)

Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane ⋮ Global existence of weak solutions to 3D Navier-Stokes IBVP with non-decaying initial data in exterior domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on the Stokes problem with initial data in \(L^1\)
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
• Estimates for solutions of nonstationary Navier-Stokes equations
• Existence, uniqueness and attainability of periodic solutions of the Navier-Stokes equations in exterior domains
• Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm
• Some interpolation inequalities involving Stokes operator and first order derivatives
• Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
• An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains

This page was built for publication: On weak \(D\)-solutions to the non-stationary Navier-Stokes equations in a three-dimensional exterior domain