Some Liouville-type theorems for the stationary density-dependent Navier–Stokes equations

DOI10.1063/5.0061881OpenAlexW4206999281WikidataQ113854243 ScholiaQ113854243MaRDI QIDQ5056497

Genqian Liu, Pan Liu

Publication date: 8 December 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0061881

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (5)

Liouville-type theorems for the stationary compressible barotropic and incompressible inhomogeneous Navier–Stokes equations ⋮ A Liouville type theorem for the stationary compressible Navier-Stokes equations ⋮ Regularity criteria and Liouville theorem for 3D inhomogeneous Navier-Stokes flows with vacuum ⋮ Liouville-type theorems for the stationary inhomogeneous incompressible MHD equations ⋮ Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
• Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system
• Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl
• Liouville theorems for the Navier-Stokes equations and applications
• Global well-posedness for the 3D incompressible inhomogeneous Navier-Stokes equations and MHD equations
• Analyticity of the inhomogeneous incompressible Navier-Stokes equations
• The geometric invariants for the spectrum of the Stokes operator
• Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations
• Notes on Liouville type theorems for the stationary compressible Navier-Stokes equations
• On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces
• Global solution to the incompressible inhomogeneous Navier-Stokes equations with some large initial data
• Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations
• Convolution operators and L(p, q) spaces
• On the influence of gravity on density-dependent incompressible periodic fluids
• Some new functional spaces
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Classical Fourier Analysis
• Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations

This page was built for publication: Some Liouville-type theorems for the stationary density-dependent Navier–Stokes equations