Global well-posedness for inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation

DOI10.3934/dcds.2016101zbMath1351.76014OpenAlexW2534459440MaRDI QIDQ727417

D. Kharzeev

Publication date: 6 December 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016101

zbMATH Keywords

energy estimatesglobal solutioncritical spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Global well-posedness and exponential decay for the inhomogeneous Navier-Stokes equations with logarithmical hyper-dissipation ⋮ On the local \(C^{1,\alpha}\) solution of ideal magneto-hydrodynamical equations ⋮ Global solutions to the generalized Leray-\(\alpha\) system with non-\(L^2(\mathbb{R}^n)\) initial data

Cites Work

• Unnamed Item
• Unnamed Item
• On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations
• Ordinary differential equations, transport theory and Sobolev spaces
• Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• Solvability of nonstationary problems for nonhomogeneous incompressible fluids and the convergence with vanishing viscosity
• A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
• On the Navier-Stokes initial value problem. I
• The inviscid limit for density-dependent incompressible fluids
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Density-dependent incompressible viscous fluids in critical spaces
• Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density

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