Global Solutions to the 3-D Incompressible Inhomogeneous Navier–Stokes System with Rough Density

DOI10.1007/978-1-4614-6348-1_9zbMath1273.35211OpenAlexW100907463MaRDI QIDQ2848255

Ping Zhang, Jingchi Huang, Marius Paicu

Publication date: 26 September 2013

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6348-1_9

zbMATH Keywords

well-posednessLittlewood-Paley theoryinhomogeneous Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity ⋮ Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space ⋮ Global solution to the 3D inhomogeneous nematic liquid crystal flows with variable density

Cites Work

• Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity
• 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
• Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space
• On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces
• 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
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• Stability to the global large solutions of 3-D Navier-Stokes equations
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• 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
• Theory of Sobolev Multipliers
• Global existence for the magnetohydrodynamic system in critical spaces
• Density-dependent incompressible viscous fluids in critical spaces
• Sur une inégalité de type Poincaré
• Unnamed Item
• Unnamed Item

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