Calmed 3D Navier-Stokes equations: global well-posedness, energy identities, global attractors, and convergence

DOI10.1007/s00332-024-10093-9MaRDI QIDQ6624025

Adam Larios, Jiahong Wu, Matthew Enlow

Publication date: 24 October 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsBurgers equationKuramoto-Sivashinsky equationglobal well-posednessmulti-dimensional

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order parabolic equations (35K25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the Stokes operator and its powers
• On the global regularity of generalized Leray-alpha type models
• Pullback attractors for globally modified Navier-Stokes equations with infinite delays
• A tamed 3D Navier-Stokes equation in uniform \(C^2\)-domains
• Invariant measures and statistical solutions of the globally modified Navier-Stokes equations
• The Camassa-Holm equations and turbulence
• Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations
• The stochastic 3D globally modified Navier-Stokes equations: existence, uniqueness and asymptotic behavior
• Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations
• Nonuniqueness of weak solutions to the Navier-Stokes equation
• Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
• Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent
• Pullback \(V\)-attractors of the 3-dimensional globally modified Navier-Stokes equations
• On the movement of a space-filling viscous liquid
• Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
• Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
• A Nonlinear semigroup approach to the navier—stokes system
• On the Rate of Convergence of the Two-Dimensional α-Models of Turbulence to the Navier–Stokes Equations
• The LANS-α and Leray turbulence parameterizations in primitive equation ocean modeling
• Unique Strong Solutions and V -Attractors of a Three Dimensional System of Globally Modified Navier-Stokes Equations
• A remark on the characterization of the gradient of a distribution
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
• On relaxation times in the Navier-Stokes-Voigt model
• Finite-dimensional global attractor for globally modified Navier–Stokes equations with fractional dissipation
• A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence
• The Uniqueness of Weak Solutions of the Globally Modified Navier-Stokes Equations
• On a Leray–α model of turbulence
• A modified-Leray-α subgrid scale model of turbulence
• Gluing non-unique Navier-Stokes solutions

Related Items (1)

Algebraic calming for the 2D Kuramoto-Sivashinsky equations

This page was built for publication: Calmed 3D Navier-Stokes equations: global well-posedness, energy identities, global attractors, and convergence