On the relation between very weak and Leray–Hopf solutions to Navier–Stokes equations

DOI10.1090/proc/14764zbMath1423.35295arXiv1809.03991OpenAlexW2963160847WikidataQ127491361 ScholiaQ127491361MaRDI QIDQ5238114

Giovanni Paolo Galdi

Publication date: 28 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03991

zbMATH Keywords

regularityNavier-Stokes equationsuniquenessvery weak solutionsLeray-Hopf solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (7)

The regularity of very weak solutions to magneto-hydrodynamics equations ⋮ Energy equality for the tropical climate models ⋮ Navier-Stokes equations: a new estimate of a possible gap related to the energy equality of a suitable weak solution ⋮ Decay for turbulent solutions of the magneto-hydrodynamic equations in an exterior domain ⋮ Global solvability to a 3D chemotaxis-fluid model with matrix-valued supercritical sensitivities ⋮ On Masuda uniqueness theorem for Leray-Hopf weak solutions in mixed-norm spaces ⋮ From Jean Leray to the millennium problem: the Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains
• A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• On the strong solvability of the Navier-Stokes equations
• On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations
• Pressure integrability conditions for uniqueness of mild solutions of the Navier--Stokes system
• A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
• Un teorema di unicita per le equazioni di Navier-Stokes
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• On the energy equality for distributional solutions to Navier–Stokes equations
• Une remarque sur l'analyticité des solutions milds des équations de Navier–Stokes dans
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
• Uniqueness for mild solutions of Navier-Stokes equations in \(L^3(\mathbb{R}^3)\) and other limit functional spaces

This page was built for publication: On the relation between very weak and Leray–Hopf solutions to Navier–Stokes equations