On the uniqueness of bounded very weak solutions to the Navier–Stokes Cauchy problem

DOI10.1080/00036811.2010.483429zbMath1208.35105OpenAlexW2007582258MaRDI QIDQ3081423

Paolo Maremonti

Publication date: 8 March 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.483429

zbMATH Keywords

Navier-Stokes equationsuniquenessweak 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)

Related Items (6)

A Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity Criterion ⋮ Non-decaying solutions to the Navier Stokes equations in exterior domains ⋮ Bounded solutions in incompressible hydrodynamics ⋮ Unnamed Item ⋮ Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in exterior domains ⋮ Conditional stability and periodicity of solutions to evolution equations

Cites Work

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• Stokes and Navier-Stokes problems in a half-space: the existence and uniqueness of solutions a priori nonconvergent to a limit at infinity
• A uniqueness theorem for viscous fluid motions in exterior domains
• On Leray's self-similar solutions of the Navier-Stokes equations satisfying local energy estimates
• The uniqueness of nondecaying solutions for the Navier-Stokes equations
• Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations.
• Fundamental solutions of Stokes and Oseen problem in two spatial dimensions
• Un teorema di unicita per le equazioni di Navier-Stokes
• On the Boussinesq Flow with Nondecaying Initial Data

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