On strong solutions to the compressible Hall-magnetohydrodynamic system

In this paper, we consider strong/classical solutions to the 3D compressible Hall-magnetohydrodynamic system. First, we prove the existence of local strong solutions with positive density. Then the existence of global small solutions with small initial data is proved. Optimal time decay rate is also...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2015-04, Vol.22, p.423-434
Main Authors: Fan, Jishan, Alsaedi, Ahmed, Hayat, Tasawar, Nakamura, Gen, Zhou, Yong
Format: Article
Language:English
Subjects:
Compressibility
Compressible
Decay
Decay rate
Density
Hall-MHD
Nonlinearity
Optimization
Strong solutions
Three dimensional
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Summary:In this paper, we consider strong/classical solutions to the 3D compressible Hall-magnetohydrodynamic system. First, we prove the existence of local strong solutions with positive density. Then the existence of global small solutions with small initial data is proved. Optimal time decay rate is also established.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2014.10.003