The Cauchy problem for a 1D compressible viscous micropolar fluid model: analysis of the stabilization and the regularity

DOI10.1016/j.nonrwa.2010.10.023zbMath1239.35127OpenAlexW1971726840MaRDI QIDQ425933

Taige Wang, Guili Hu, Yu-ming Qin

Publication date: 10 June 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.10.023

zbMATH Keywords

Cauchy problemcompressible Navier-Stokes equationsmicropolar fluid

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 (33)

Stability of stationary solutions for inflow problem on the micropolar fluid model ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: a global existence theorem ⋮ Optimal decay rates for higher-order derivatives of solutions to the 3D compressible micropolar fluids system ⋮ Large time behavior of spherically symmetrical micropolar fluid on unbounded domain ⋮ Global behavior for compressible viscous micropolar fluid with spherical symmetry ⋮ Global strong solution for initial-boundary value problem of one-dimensional compressible micropolar fluids with density dependent viscosity and temperature dependent heat conductivity ⋮ Nonlinear stability of rarefaction waves for a compressible micropolar fluid model with zero heat conductivity ⋮ Large-time behavior of solutions to the inflow problem of the non-isentropic micropolar fluid model ⋮ Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model ⋮ The limits of coefficients of angular viscosity and microrotation viscosity to one-dimensional compressible Navier-Stokes equations for micropolar fluids model ⋮ Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model ⋮ A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Global classical large solution to compressible viscous micropolar and heat-conducting fluids with vacuum ⋮ Space-time decay rates for the 3D compressible micropolar fluids system ⋮ Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum ⋮ Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients ⋮ 3-D flow of a compressible viscous micropolar fluid with cylindrical symmetry: uniqueness of a generalized solution ⋮ Exponential stability for the compressible micropolar fluid with cylinder symmetry in R3 ⋮ Asymptotic behavior of the one-dimensional compressible micropolar fluid model ⋮ Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model ⋮ Stationary solutions to the one-dimensional micropolar fluid model in a half line: existence, stability and convergence rate ⋮ Global solutions for a one-dimensional compressible micropolar fluid model with zero heat conductivity ⋮ Stability of the composite wave for the inflow problem on the micropolar fluid model ⋮ A shear flow problem for compressible viscous micropolar fluid: derivation of the model and numerical solution ⋮ Exponential stability for a one-dimensional compressible viscous micropolar fluid ⋮ The global well-posedness of the Cauchy problem for a liquid crystal system ⋮ Convergence rate of solutions toward stationary solutions to the isentropic micropolar fluid model in a half line ⋮ Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity ⋮ Cauchy problem for non-autonomous Navier-Stokes equations in an unbounded domain ⋮ Decay estimates of solutions to the compressible micropolar fluids system in \(\mathbb{R}^3\) ⋮ Exponential stability of spherically symmetric solutions for compressible viscous micropolar fluid ⋮ Local existence of the generalized solution for three-dimensional compressible viscous flow of micropolar fluid with cylindrical symmetry ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: large time behavior of the solution

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