Global well-posedness of 3-D inhomogeneous Navier-Stokes system with initial velocity being a small perturbation of 2-D solenoidal vector field

DOI10.1016/j.jmaa.2018.05.011zbMath1397.35167OpenAlexW2803946379WikidataQ129735491 ScholiaQ129735491MaRDI QIDQ1635603

Yuhui Chen, Jingchi Huang

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.011

zbMATH Keywords

large solutionsanisotropic Littlewood-Paley theoryinhomogeneous Navier-Stokes systems

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Lubrication theory (76D08) Navier-Stokes equations (35Q30) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

• Unnamed Item
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• Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity
• Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field
• Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system
• Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces
• Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable
• On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces
• Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable
• Global existence for an inhomogeneous fluid
• On the Navier-Stokes initial value problem. I
• Navier-Stokes equation with variable density and viscosity in critical space
• Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• Anisotropic Navier-Stokes equation in critical spaces
• Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking
• A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
• On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• Density-dependent incompressible viscous fluids in critical spaces