[HTML][HTML] Optimal time decay of the compressible micropolar fluids

Q Liu, P Zhang - Journal of Differential Equations, 2016 - Elsevier
This paper primarily studies the large-time behavior of solutions to the Cauchy problem on
the compressible micropolar fluid system which is a generalization of the classical Navier …

[HTML][HTML] 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: regularity of the solution

I Dražić, L Simčić, N Mujaković - Journal of mathematical analysis and …, 2016 - Elsevier
In this paper we consider the nonstationary 3-D flow of a compressible viscous and heat-
conducting micropolar fluid, that is in the thermodynamical sense perfect and polytropic. The …

3-D flow of a compressible viscous micropolar fluid model with spherical symmetry: a brief survey and recent progress

I Dražić - Reviews in mathematical physics, 2018 - World Scientific
We consider the non-stationary 3-D flow of a compressible viscous and heat-conducting
micropolar fluid with the assumption of spherical symmetry. We analyze the flow between …

Three‐dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theorem

I Dražić - Mathematical Methods in the Applied Sciences, 2017 - Wiley Online Library
We consider the nonstationary 3‐D flow of a compressible viscous heat‐conducting
micropolar fluid in the domain to be the subset of R3 bounded with two coaxial cylinders that …

[HTML][HTML] The pointwise estimates of diffusion wave of the compressible micropolar fluids

Z Wu, W Wang - Journal of Differential Equations, 2018 - Elsevier
The pointwise estimates for the compressible micropolar fluids in dimension three are given,
which exhibit generalized Huygens' principle for the fluid density and fluid momentum as the …

[HTML][HTML] Global solutions for a one-dimensional compressible micropolar fluid model with zero heat conductivity

R Duan - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this study, we consider global solutions for the one-dimensional compressible micropolar
fluid model with zero heat conductivity, which is a hyperbolic–parabolic system. The …

Global existence for a class of large solution to the three-dimensional micropolar fluid equations with vacuum

X Hou, H Peng - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
In this paper, we investigate the existence of global classical solution to the Cauchy problem
for the three-dimensional micropolar fluid equations with vacuum. Precisely, when the far …

Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model

Q Liu, H Yin - Nonlinear Analysis: Theory, Methods & Applications, 2017 - Elsevier
This paper is concerned with a one-dimensional compressible micropolar fluid model with
initial data whose behaviors at far fields x→±∞ are different. Motivated by the relationship …

Global strong solution for initial–boundary value problem of one-dimensional compressible micropolar fluids with density dependent viscosity and temperature …

R Duan - Nonlinear Analysis: Real World Applications, 2018 - Elsevier
In this paper, we prove existence and uniqueness of global strong solution of the
compressible micropolar fluids model in one dimensional space with density dependent …

[HTML][HTML] Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model

J Jin, R Duan - Journal of Mathematical Analysis and Applications, 2017 - Elsevier
In this paper, we study the large time behavior of the Cauchy problem of the compressible
micropolar fluids in one dimensional space. According to Darcy's law, we see from the …