Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains

DOI10.1007/s11425-019-9521-4zbMath1477.35127arXiv1808.07649OpenAlexW2971026601WikidataQ127314539 ScholiaQ127314539MaRDI QIDQ2037541

Yixuan Wang, Kexin Li, Boqiang Lü

Publication date: 8 July 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07649

zbMATH Keywords

vacuumglobal well-posednesslarge initial data1D compressible Navier-Stokes equationsdensity-depending viscosity

Mathematics Subject Classification ID

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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)

Related Items (2)

Global strong solutions for viscous radiative gas with degenerate temperature dependent heat conductivity in one-dimensional unbounded domains ⋮ Optimal decay of compressible Navier-Stokes equations with or without potential force

Cites Work

• Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
• Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum
• On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum
• Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows
• Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data
• Long time behavior for one-dimensional motion of a general barotropic viscous fluid
• Cauchy problem for viscous gas equations
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• On a decay rate for 1D-viscous compressible barotropic fluid equations.
• Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
• On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Global classical solution to 1D compressible Navier-Stokes equations with no vacuum at infinity
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• On global classical solutions to 1D compressible Navier‐Stokes equations with density‐dependent viscosity and vacuum
• On the Global Motion of Viscous Compressible Barotropic Flows Subject to Large External Potential Forces and Vacuum
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains