On the inviscid limit of the compressible Navier-Stokes equations near Onsager's regularity in bounded domains
DOI10.1007/s11425-022-2085-3MaRDI QIDQ6139321
Robin Ming Chen, Run-Zhang Xu, Dehua Wang, Zhilei Liang
Publication date: 18 January 2024
Published in: Science China. Mathematics (Search for Journal in Brave)
Navier-Stokes equationsweak solutionsEuler equationsinviscid limitbounded domainKato-type criterionOnsager's regularity
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The strong inviscid limit of the isentropic compressible Navier-Stokes equations with Navier boundary conditions
- Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions
- Regularity and energy conservation for the compressible Euler equations
- On the vanishing dissipation limit for the full Navier-Stokes-Fourier system with non-slip condition
- On admissibility criteria for weak solutions of the Euler equations
- Remarks about the inviscid limit of the Navier-Stokes system
- The Euler equations as a differential inclusion
- Trace theorems and spatial continuity properties for the solutions of the transport equation.
- Compact sets in the space \(L^ p(0,T;B)\)
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
- A proof of Onsager's conjecture
- Onsager's conjecture for the incompressible Euler equations in bounded domains
- The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions
- Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics
- A Kato-type criterion for vanishing viscosity near Onsager's critical regularity
- On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations
- Euler system with a polytropic equation of state as a vanishing viscosity limit
- On non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equations
- Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum
- On convergence of approximate solutions to the compressible Euler system
- Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions
- On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain
- Maximal dissipation and well-posedness for the compressible Euler system
- Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions
- \(L^\infty\) instability of Prandtl layers
- Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit
- Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow with vacuum
- Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay
- Lectures on the Onsager conjecture
- On imbedding theorems for Besov spaces of functions defined in general regions
- A Kato type theorem on zero viscosity limit of Navier-Stokes flows
- A counterexample to well-posedness of entropy solutions to the compressible Euler system
- Onsager's Conjecture for Admissible Weak Solutions
- A note on Prandtl boundary layers
- Remarks on the inviscid limit for the compressible flows
- On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
- Uniform Regularity and Vanishing Viscosity Limit for the Compressible Navier--Stokes with General Navier-Slip Boundary Conditions in Three-Dimensional Domains
- Energy conservation and Onsager's conjecture for the Euler equations
- Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
- On The Trace Problem For Solutions Of The Vlasov Equation
- On the inviscid limit for the compressible Navier-Stokes system with no-slip boundary condition
- Vanishing viscosity limit for incompressible Navier-Stokes equations with Navier boundary conditions for small slip length
- Onsager's Conjecture and Anomalous Dissipation on Domains with Boundary
- Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
- On the inviscid limit of the Navier-Stokes equations
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Observations on the vanishing viscosity limit
- On the existence of globally defined weak solutions to the Navier-Stokes equations
This page was built for publication: On the inviscid limit of the compressible Navier-Stokes equations near Onsager's regularity in bounded domains