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NONLINEAR STABILITY OF RAREFACTION WAVES FOR A COMPRESSIBLE MICROPOLAR FLUID MODEL WITH ZERO HEAT CONDUCTIVITY

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成果类型:
期刊论文
作者:
Jin, Jing*;Rehman, Noor;Jiang, Qin
通讯作者:
Jin, Jing
作者机构:
[Jin, Jing; Jiang, Qin] Huanggang Normal Univ, Sch Math & Stat, Huanggang 438000, Peoples R China.
[Rehman, Noor] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Jin, Jing] H
Huanggang Normal Univ, Sch Math & Stat, Huanggang 438000, Peoples R China.
语种:
英文
关键词:
micropolar fluids;rarefaction wave;zero-heat conductivity
期刊:
数学物理学报(英文版)
ISSN:
0252-9602
年:
2020
卷:
40
期:
5
页码:
1352-1390
基金类别:
(2019CFB834):The first author was supported by Hubei Natural Science (11971193):The second author was supported by the NSFC
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
In 2018, Duan [1] studied the case of zero heat conductivity for a one-dimensional compressible micropolar fluid model. Due to the absence of heat conductivity, it is quite difficult to close the energy estimates. He considered the far-field states of the initial data to be constants; that is, $$\mathop {\lim }\limits_{x \to \pm \infty } ({v_0},{u_0},{\omega _0},{\theta _0})(x) = (1,0,0,1)$$ . He proved that the solution tends asymptotically to those constants. In this article, under the same hypothesis that the heat conductivity is zero, we ...

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