Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 2 : pp. 158–164
Abstract
In this paper, we consider the viscous, micropolar, compressible flow in one dimension. We give the proof of existence and uniqueness of strong solutions for the initial boundary problem that vacuum can be allowed initially.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n2.5
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 2 : pp. 158–164
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Micropolar
-
Zero dissipation limit to rarefaction wave with vacuum for the micropolar compressible flow with temperature‐dependent transport coefficients
Gong, Guiqiong
Mathematical Methods in the Applied Sciences, Vol. 44 (2021), Iss. 7 P.5280
https://doi.org/10.1002/mma.7110 [Citations: 1] -
Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations
Wei, Ruiying | Guo, Boling | Li, YinJournal of Differential Equations, Vol. 263 (2017), Iss. 5 P.2457
https://doi.org/10.1016/j.jde.2017.04.002 [Citations: 29] -
Large-Time Behavior of Solutions to the Inflow Problem of the Non-Isentropic Micropolar Fluid Model
Gao, Junpei | Cui, HaiboActa Mathematica Scientia, Vol. 41 (2021), Iss. 4 P.1169
https://doi.org/10.1007/s10473-021-0410-z [Citations: 0] -
Global solutions for a one-dimensional compressible micropolar fluid model with zero heat conductivity
Duan, Ran
Journal of Mathematical Analysis and Applications, Vol. 463 (2018), Iss. 2 P.477
https://doi.org/10.1016/j.jmaa.2018.03.009 [Citations: 19] -
Stability of the composite wave for the inflow problem on the micropolar fluid model
Cui, Haibo | Yin, HaiyanCommunications on Pure & Applied Analysis, Vol. 16 (2017), Iss. 4 P.1265
https://doi.org/10.3934/cpaa.2017062 [Citations: 10] -
On the Decay of Higher-Order Norms of the Solutions to the Compressible Micropolar Fluids System
毛, 亮
Pure Mathematics, Vol. 09 (2019), Iss. 01 P.71
https://doi.org/10.12677/PM.2019.91010 [Citations: 2] -
Optimal time decay of the compressible micropolar fluids
Liu, Qingqing | Zhang, PeixinJournal of Differential Equations, Vol. 260 (2016), Iss. 10 P.7634
https://doi.org/10.1016/j.jde.2016.01.037 [Citations: 58] -
Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum
Zhu, Canze | Tao, QiangMathematical Methods in the Applied Sciences, Vol. 46 (2023), Iss. 1 P.28
https://doi.org/10.1002/mma.8490 [Citations: 1] -
Global solutions to the micropolar compressible flow with constant coefficients and vacuum
Wan, Ling | Zhang, LanNonlinear Analysis: Real World Applications, Vol. 51 (2020), Iss. P.102990
https://doi.org/10.1016/j.nonrwa.2019.102990 [Citations: 6] -
Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum
Zhang, Peixin
Boundary Value Problems, Vol. 2013 (2013), Iss. 1
https://doi.org/10.1186/1687-2770-2013-160 [Citations: 4] -
Optimal decay rates for higher-order derivatives of solutions to the 3D compressible micropolar fluids system
Qin, Liuna | Zhang, YinghuiJournal of Mathematical Analysis and Applications, Vol. 512 (2022), Iss. 1 P.126116
https://doi.org/10.1016/j.jmaa.2022.126116 [Citations: 3] -
Blowup criterion for the three-dimensional equations of compressible viscous micropolar fluids with vacuum
Chen, Mingtao | Huang, Bin | Zhang, JianwenNonlinear Analysis: Theory, Methods & Applications, Vol. 79 (2013), Iss. P.1
https://doi.org/10.1016/j.na.2012.10.013 [Citations: 54] -
The limits of coefficients of angular viscosity and microrotation viscosity to one-dimensional compressible Navier-Stokes equations for micropolar fluids model
Chang, Shengchuang | Duan, RanJournal of Mathematical Analysis and Applications, Vol. 516 (2022), Iss. 1 P.126462
https://doi.org/10.1016/j.jmaa.2022.126462 [Citations: 0] -
Nonlinear stability of rarefaction waves for micropolar fluid model with large initial perturbation
Gong, Guiqiong | Zhang, JunhaoJournal of Differential Equations, Vol. 309 (2022), Iss. P.311
https://doi.org/10.1016/j.jde.2021.11.023 [Citations: 1] -
Long-time behavior of solution to the compressible micropolar fluids with external force
Liu, Qingqing | Zhang, PeixinNonlinear Analysis: Real World Applications, Vol. 40 (2018), Iss. P.361
https://doi.org/10.1016/j.nonrwa.2017.08.007 [Citations: 12] -
Nonlinear Stability of Rarefaction Waves for a Compressible Micropolar Fluid Model with Zero Heat Conductivity
Jin, Jing | Rehman, Noor | Jiang, QinActa Mathematica Scientia, Vol. 40 (2020), Iss. 5 P.1352
https://doi.org/10.1007/s10473-020-0512-z [Citations: 1] -
On the motion of the 3D compressible micropolar fluids with time periodic external forces
Tan, Zhong | Xu, QiujuJournal of Mathematical Physics, Vol. 59 (2018), Iss. 8
https://doi.org/10.1063/1.5051990 [Citations: 4] -
Global well-posedness for the three dimensional compressible micropolar equations
Liang, Tao | Li, Yongsheng | Zhai, XiaopingNonlinear Analysis: Real World Applications, Vol. 81 (2025), Iss. P.104192
https://doi.org/10.1016/j.nonrwa.2024.104192 [Citations: 0] -
Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients
Chen, Zhengzheng | Wang, DiNonlinear Analysis: Real World Applications, Vol. 58 (2021), Iss. P.103226
https://doi.org/10.1016/j.nonrwa.2020.103226 [Citations: 1] -
Convergence rate of solutions toward stationary solutions to the isentropic micropolar fluid model in a half line
Cui, Haibo | Yin, HaiyanDiscrete & Continuous Dynamical Systems - B, Vol. 26 (2021), Iss. 6 P.2899
https://doi.org/10.3934/dcdsb.2020210 [Citations: 0] -
Large Time Behavior of Spherically Symmetrical Micropolar Fluid on Unbounded Domain
Huang, Lan | Sun, Zhiying | Lu, Yongjin | Yang, Xin-GuangApplied Mathematics & Optimization, Vol. 84 (2021), Iss. S2 P.1607
https://doi.org/10.1007/s00245-021-09806-3 [Citations: 3] -
Stability of stationary solutions for inflow problem on the micropolar fluid model
Yin, Haiyan
Zeitschrift für angewandte Mathematik und Physik, Vol. 68 (2017), Iss. 2
https://doi.org/10.1007/s00033-017-0789-5 [Citations: 12] -
Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model
Liu, Qingqing | Yin, HaiyanNonlinear Analysis: Theory, Methods & Applications, Vol. 149 (2017), Iss. P.41
https://doi.org/10.1016/j.na.2016.10.009 [Citations: 23] -
Stationary solutions to the one-dimensional micropolar fluid model in a half line: Existence, stability and convergence rate
Cui, Haibo | Yin, HaiyanJournal of Mathematical Analysis and Applications, Vol. 449 (2017), Iss. 1 P.464
https://doi.org/10.1016/j.jmaa.2016.11.065 [Citations: 24] -
Global existence of strong solutions to the micro-polar, compressible flow with density-dependent viscosities
Chen, Mingtao
Boundary Value Problems, Vol. 2011 (2011), Iss. 1
https://doi.org/10.1186/1687-2770-2011-13 [Citations: 2] -
Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model
Jin, Jing | Duan, RanJournal of Mathematical Analysis and Applications, Vol. 450 (2017), Iss. 2 P.1123
https://doi.org/10.1016/j.jmaa.2016.12.085 [Citations: 17] -
Blowup criterion for viscous, compressible micropolar fluids with vacuum
Chen, Mingtao
Nonlinear Analysis: Real World Applications, Vol. 13 (2012), Iss. 2 P.850
https://doi.org/10.1016/j.nonrwa.2011.08.021 [Citations: 38] -
Asymptotic behavior of the one-dimensional compressible micropolar fluid model
Cui, Haibo | Gao, Junpei | Yao, LeiElectronic Research Archive, Vol. 29 (2021), Iss. 2 P.2063
https://doi.org/10.3934/era.2020105 [Citations: 2] -
Zero dissipation limit to rarefaction wave with vacuum for the one-dimensional non-isentropic micropolar equations
Gong, Guiqiong
Nonlinear Analysis: Real World Applications, Vol. 56 (2020), Iss. P.103167
https://doi.org/10.1016/j.nonrwa.2020.103167 [Citations: 2] -
Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity
Zheng, Liyun | Chen, Zhengzheng | Zhang, SinaJournal of Mathematical Analysis and Applications, Vol. 468 (2018), Iss. 2 P.865
https://doi.org/10.1016/j.jmaa.2018.08.040 [Citations: 8] -
Global strong solution for initial–boundary value problem of one-dimensional compressible micropolar fluids with density dependent viscosity and temperature dependent heat conductivity
Duan, Ran
Nonlinear Analysis: Real World Applications, Vol. 42 (2018), Iss. P.71
https://doi.org/10.1016/j.nonrwa.2017.12.006 [Citations: 15]