Blowup criterion for viscous, compressible micropolar fluids with vacuum

DOI10.1016/j.nonrwa.2011.08.021zbMath1238.76036OpenAlexW2059579088MaRDI QIDQ420117

Mingtao Chen

Publication date: 20 May 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.2011.08.021

zbMATH Keywords

vacuum statescompressible micropolar fluidsblowup criterion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Compressible fluids and gas dynamics (76N99) Blow-up in context of PDEs (35B44)

Related Items (30)

Stability of stationary solutions for inflow problem on the micropolar fluid model ⋮ Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum ⋮ 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 ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: a local existence theorem ⋮ Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model ⋮ Low Mach number limit of a compressible micropolar fluid model ⋮ A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Long-time behavior of solution to the compressible micropolar fluids with external force ⋮ A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid ⋮ Global classical large solution to compressible viscous micropolar and heat-conducting fluids with vacuum ⋮ Regularity and uniqueness of global solutions for the 3D compressible micropolar fluids ⋮ Incompressible limit of a compressible micropolar fluid model with general initial data ⋮ Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients ⋮ Exponential stability for the compressible micropolar fluid with cylinder symmetry in R3 ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: uniqueness of a generalized solution ⋮ 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 ⋮ Global existence and low Mach number limit to a 3D compressible micropolar fluids model in a bounded domain ⋮ Stability of the composite wave for the inflow problem on the micropolar fluid model ⋮ 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 of spherically symmetric solutions for compressible viscous micropolar fluid ⋮ 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: large time behavior of the solution

Cites Work

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