Asymptotic behavior of compressible \(p\)-th power Newtonian fluid with large initial data

DOI10.1016/j.jde.2014.10.011zbMath1305.35114OpenAlexW2025703028MaRDI QIDQ473071

Haibo Cui, Zheng-An Yao

Publication date: 21 November 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.10.011

zbMATH Keywords

convergence ratesexponential stabilityuniform estimatesasymptotic behaviors of the solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (14)

Regularity to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity ⋮ Regularity for compressible isentropic Navier-Stokes equations with cylinder symmetry ⋮ Symmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficients ⋮ One-dimensional model and numerical solution to the viscous and heat-conducting micropolar real gas flow with homogeneous boundary conditions ⋮ Asymptotic behavior for cylindrically symmetric nonbarotropic flows in exterior domains with large data ⋮ Remarks on global existence and exponential stability of solutions for the viscous radiative and reactive gas with large initial data ⋮ Local existence theorem for micropolar viscous real gas flow with homogeneous boundary conditions ⋮ Initial-boundary value problems for one-dimensional \(p\)th power viscous reactive gas with density-dependent viscosity ⋮ One dimensional \(p\)-th power Newtonian fluid with temperature-dependent thermal conductivity ⋮ Asymptotic behavior of the one-dimensional compressible micropolar fluid model ⋮ Global existence and asymptotic behavior of cylindrically symmetric solutions for the 3D infrarelativistic model with radiation ⋮ Global solution to a one-dimensional model of viscous and heat-conducting micropolar real gas flow ⋮ Asymptotic behavior for the one-dimensionalpth power Newtonian fluid in unbounded domains ⋮ Asymptotic behavior of spherically or cylindrically symmetric solutions to the compressible Navier-Stokes equations with large initial data

Cites Work

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• Exponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in \(\mathbb R^3\)
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum
• Global existence and exponential stability for the pth power viscous reactive gas
• Global existence and exponential stability of solutions in \(H^4\) for the compressible Navier-Stokes equations with the cylinder symmetry
• 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
• Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
• Temporal asymptotics for the \(p'\)th power Newtonian fluid in one space dimension
• Large-time behavior of solutions to the equations of a viscous polytropic ideal gas
• Symmetric nonbarotropic flows with large data and forces
• On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
• Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
• Asymptotic stability of the spherically symmetric solutions for an isentropic model of compressible viscous gas
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Global asymptotics of the outer pressure problem with free boundary
• Large-time behavior of solutions to the equations of one-dimensional nonlinear thermoviscoelasticity
• Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry

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