Global solutions to the generalized Leray-\(\alpha\) system with non-\(L^2(\mathbb{R}^n)\) initial data

DOI10.1007/s10884-019-09787-6zbMath1440.76024OpenAlexW2972135910MaRDI QIDQ785370

Nathan Pennington

Publication date: 6 August 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-019-09787-6

zbMATH Keywords

Navier-Stokesfractional LaplacianLeray-\(\alpha\) model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Global solutions to the generalized Leray-alpha equation with mixed dissipation terms
• On the global regularity of generalized Leray-alpha type models
• Global well-posedness for inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
• The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity
• On global infinite energy solutions to the Navier-Stokes equations in two dimensions
• Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p
• Estimates for the LANS-$\alpha$, Leray-$\alpha$ and Bardina models in terms of a Navier-Stokes Reynolds number
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Local and Global low-regularity solutions to the Generalized Leray-alpha equations
• Well-posedness for the Navier-Stokes equations

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