On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum

DOI10.1016/j.nonrwa.2018.09.001zbMath1412.35225OpenAlexW2896618676WikidataQ129113737 ScholiaQ129113737MaRDI QIDQ1729213

Sisi Song, Boqiang Lü

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.09.001

zbMATH Keywords

vacuumincompressible Navier-Stokes equationsstrong solutionsdensity-dependent viscosity

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (13)

Global well-posedness to the Cauchy problem of 2D nonhomogeneous Bénard system with large initial data and vacuum ⋮ On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum ⋮ Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains ⋮ Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous Navier–Stokes equations with density-dependent viscosity and large initial velocity ⋮ Global regularity to the 2D inhomogeneous liquid crystal flows with large initial data and vacuum ⋮ Global strong solution of 3D inhomogeneous incompressible Navier-Stokes equations with degenerate viscosity ⋮ Global well-posedness of the 2D incompressible Navier-Stokes equations with density-dependent viscosity coefficient ⋮ Global existence and exponential decay of strong solutions to the Cauchy problem of 3D density-dependent Navier-Stokes equations with vacuum ⋮ Global strong solution and exponential decay to the 3D Cauchy problem of nonhomogeneous Bénard system with vacuum ⋮ Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum ⋮ Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes equations with vacuum and large oscillations ⋮ Global well-posedness for 3D nonhomogeneous micropolar fluids with density-dependent viscosity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
• Global strong solution to the 2D nonhomogeneous incompressible MHD system
• On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum
• Compressible flow in a half-space with Navier boundary conditions
• Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity
• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• Regularity results for two-dimensional flows of multiphase viscous fluids
• Unique solvability for the density-dependent Navier-Stokes equations
• Global strong solution of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
• Global well-posedness for the incompressible Navier-Stokes equations with density-dependent viscosity coefficient
• On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient
• Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids

This page was built for publication: On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum