Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions

DOI10.1088/1361-6544/AD46BFzbMATH Open1542.35281MaRDI QIDQ6557867

Qiangchang Ju, Jian-Jun Xu

Publication date: 18 June 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Compressible Navier-Stokes equations (76N06)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Incompressible limit and stability of all-time solutions to 3-D full Navier-Stokes equations for perfect gases
• Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains
• The Navier-Stokes equations. An elementary functional analytic approach
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Existence results for viscous polytropic fluids with vacuum
• Large time behavior for the nonstationary Navier-Stokes flows in the half-space
• The low Mach number limit for the full Navier-Stokes-Fourier system
• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
• Incompressible limit for a viscous compressible fluid
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• On the first initial-boundary value problem of compressible viscous fluid motion
• The zero-Mach limit of compressible flows
• Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
• Fast singular limits of hyperbolic PDEs
• Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
• Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
• Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries
• On solution to the Navier-Stokes equations with Navier slip boundary condition for three dimensional incompressible fluid
• Low Mach number limit of Navier-Stokes equations with large temperature variations in bounded domains
• Low Mach number limit of the full Navier-Stokes equations
• An interpolation inequality in exterior domains
• Stokes and Navier-Stokes equations with Navier boundary conditions
• On the motion of the free surface of a liquid
• Lecture Notes on Regularity Theory for the 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
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• Estimating ∇u by divu and curlu
• All-Time Existence of Classical Solutions for Slightly Compressible Flows
• On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows
• Low Mach Number Limit of Viscous Polytropic Flows: Formal Asymptotics in the Periodic Case
• Incompressible Limit of Isentropic Navier--Stokes Equations with Ill-Prepared Data in Bounded Domains
• Stokes and Navier-Stokes problems with Navier-type boundary condition in L^p-spaces
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Incompressible, inviscid limit of the compressible Navier-Stokes system
• The incompressible limit of the non-isentropic Euler equations

This page was built for publication: Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6557867)