Stationary solutions to the one-dimensional micropolar fluid model in a half line: existence, stability and convergence rate

DOI10.1016/j.jmaa.2016.11.065zbMath1360.35172OpenAlexW2566543411MaRDI QIDQ504862

Haibo Cui, Haiyan Yin

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.065

zbMATH Keywords

convergence ratestationary solutionsweighted energy methodoutflow problemmicropolar fluid model

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (20)

Stability of stationary solutions for inflow problem on the micropolar fluid model ⋮ 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 the classical solution of compressible viscous micropolar fluid with cylinder 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 ⋮ The limits of coefficients of angular viscosity and microrotation viscosity to one-dimensional compressible Navier-Stokes equations for micropolar fluids model ⋮ Long-time behavior of solution to the compressible micropolar fluids with external force ⋮ Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients ⋮ Asymptotic behavior of the one-dimensional compressible micropolar fluid model ⋮ Global solutions for a one-dimensional compressible micropolar fluid model with zero heat conductivity ⋮ The pointwise estimates of diffusion wave of the compressible micropolar fluids ⋮ Stability of the composite wave for the inflow problem on the micropolar fluid model ⋮ Pointwise space-time estimates of non-isentropic compressible micropolar fluids ⋮ 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 ⋮ Global solutions to the micropolar compressible flow with constant coefficients and vacuum ⋮ Decay estimates of solutions to the compressible micropolar fluids system in \(\mathbb{R}^3\) ⋮ Exponential stability and regularity of compressible viscous micropolar fluid with cylinder symmetry

Cites Work

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