Nonlinearly exponential stability for the compressible Navier-Stokes equations with temperature-dependent transport coefficients
From MaRDI portal
Publication:2020135
DOI10.1016/j.jde.2021.03.044zbMath1464.35254OpenAlexW3137304328MaRDI QIDQ2020135
Xiaokui Zhao, Ying Sun, Jian-Wen Zhang
Publication date: 23 April 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.03.044
compressible Navier-Stokes equationslarge datatemperature-dependent transport coefficientsnonlinearly exponential stability
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity, Stability of combination of rarefaction waves with viscous contact wave for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large data, On some types of initial-boundary value problems for the compressible Navier-Stokes equations with temperature-dependent and degenerate heat conductivity, On initial boundary value problems for the compressible Navier-Stokes system with temperature dependent heat conductivity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system in unbounded domains with large data
- A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
- Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
- One dimensional \(p\)-th power Newtonian fluid with temperature-dependent thermal conductivity
- Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
- Cauchy problem for viscous gas equations
- Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
- Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
- Solvability in the large of a system of equations of the one- dimensional motion of an inhomogeneous viscous heat-conducting gas
- On the first initial-boundary value problem of compressible viscous fluid motion
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains
- On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
- Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
- Large-time behavior of solutions to the equations of a viscous polytropic ideal gas
- Vacuum states for compressible flow
- Nonlinearly exponential stability of compressible Navier-Stokes system with degenerate heat-conductivity
- Compressible Navier-Stokes equations with temperature dependent heat conductivity
- Symmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficients
- COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
- One-dimensional compressible heat-conducting gas with temperature-dependent viscosity
- Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data
- One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
- One-Dimensional Compressible Flow with Temperature Dependent Transport Coefficients
- On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with stress-free condition
- Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
- Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
- Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
- Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity
- Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
- Global solutions of the compressible navier-stokes equations with larger discontinuous initial data
- Remarks on the asymptotic behaviour of solutions to the compressible Navier–Stokes equations in the half-line
