Remarks on Exponential Stability of Solutions for the Compressible <em>p</em>-th Power Newtonian Fluid with Large Initial Data

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Volume 29, Issue 4

Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data

Jianlin Zhang, Yuming Qin & Jie Cao

DOI: 10.4208/jpde.v29.n4.3

J. Part. Diff. Eq., 29 (2016), pp. 286-301.

Published online: 2016-12

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Abstract

In this paper, we establish the exponential stability of the global spherically and cylindrically symmetric solutions in H^i (i=1,2,4) for the p-th power Newtonian fluid in multi-dimension with large initial data. The key point is that the smallness of initial data is not needed if the initial data are cylindrically symmetric.

Keywords

Newtonian fluid global existence asymptotic behavior exponential stability

AMS Subject Headings

35Q30, 35Q35, 35D35, 76N10, 76N15

Email address

mathzhangjianlin@hotmail.com (Jianlin Zhang)

yuming_qin@hotmail.com (Yuming Qin)

caojie23@hotmail.com (Jie Cao)

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TXT

@Article{JPDE-29-286, author = {Zhang , JianlinQin , Yuming and Cao , Jie}, title = {Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {4}, pages = {286--301}, abstract = { In this paper, we establish the exponential stability of the global spherically and cylindrically symmetric solutions in H^i (i=1,2,4) for the p-th power Newtonian fluid in multi-dimension with large initial data. The key point is that the smallness of initial data is not needed if the initial data are cylindrically symmetric.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/5094.html} }

TY - JOUR T1 - Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data AU - Zhang , Jianlin AU - Qin , Yuming AU - Cao , Jie JO - Journal of Partial Differential Equations VL - 4 SP - 286 EP - 301 PY - 2016 DA - 2016/12 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n4.3 UR - https://global-sci.org/intro/article_detail/jpde/5094.html KW - Newtonian fluid KW - global existence KW - asymptotic behavior KW - exponential stability AB - In this paper, we establish the exponential stability of the global spherically and cylindrically symmetric solutions in H^i (i=1,2,4) for the p-th power Newtonian fluid in multi-dimension with large initial data. The key point is that the smallness of initial data is not needed if the initial data are cylindrically symmetric.

Zhang , JianlinQin , Yuming and Cao , Jie. (2016). Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data. Journal of Partial Differential Equations. 29 (4). 286-301. doi:10.4208/jpde.v29.n4.3

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