Global strong solution to compressible Navier-Stokes equations with density dependent viscosity and temperature dependent heat conductivity
From MaRDI portal
Publication:507562
DOI10.1016/j.jde.2017.01.007zbMath1367.35106OpenAlexW2580608324MaRDI QIDQ507562
Ai Guo, Ran Duan, Changjiang Zhu
Publication date: 6 February 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.01.007
one-dimensional compressible Navier-Stokes equationstemperature dependencedensity dependent viscositystress-free boundary conditionthermally insulated boundary condition
Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)
Related Items
Nonlinear stability of solutions on the outer pressure problem of compressible Navier-Stokes system with temperature-dependent heat conductivity ⋮ Global smooth solution of compressible Navier-Stokes system with temperature-dependent transport coefficients and pressure condition ⋮ Optimal control problems for the reaction-diffusion-convection equation with variable coefficients ⋮ Large-time behavior of global solutions to the Cauchy problem of one-dimensional viscous and heat-conducting ionized gas ⋮ On some types of initial-boundary value problems for the compressible Navier-Stokes equations with temperature-dependent and degenerate heat conductivity ⋮ Analysis of inhomogeneous boundary value problems for generalized Boussinesq model of mass transfer ⋮ Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity ⋮ On initial boundary value problems for the compressible Navier-Stokes system with temperature dependent heat conductivity ⋮ Initial-boundary value problems for one-dimensional \(p\)th power viscous reactive gas with density-dependent viscosity ⋮ One-Dimensional Viscous and Heat-Conducting Ionized Gas with Density-dependent Viscosity ⋮ Asymptotic behavior of spherically or cylindrically symmetric solutions to the compressible Navier-Stokes equations with large initial data ⋮ The large time behavior of the free boundary for one dimensional compressible Navier-Stokes equations ⋮ On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with degenerate heat conductivity ⋮ Asymptotic behavior of solutions of initial-boundary value problems for 1D viscous and heat-conducting ionized gas
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
- Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
- On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
- 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
- On initial boundary value problems for a viscous, heat-conducting, one- dimensional real gas
- The mathematical theory of dilute gases
- On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
- On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas
- Global solutions of the Navier-Stokes equations for viscous compressible flows.
- Global solutions of the free boundary problem for the compressible Navier-Stokes equations with density-dependent viscosity
- Compressible Navier-Stokes equations with temperature dependent heat conductivity
- Global smooth solutions of the compressible Navier-Stokes equations with density-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
- 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
- Le problème de Cauchy pour les équations différentielles d'un fluide général