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Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation

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2012_GMHD_nD_Nonlinear_Analysis_Revised_201302.pdf (160.8Kb)
Date
07/2013
Author
Tran, Chuong Van
Yu, Xinwei
Zhai, Zhichun
Keywords
Magnetohydrodynamics
Generalized diffusion
Global regularity
QA Mathematics
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Abstract
In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-viscosity is sufficiently strong.
Citation
Tran , C V , Yu , X & Zhai , Z 2013 , ' Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation ' , Nonlinear Analysis: Theory, Methods and Applications , vol. 85 , pp. 43-51 . https://doi.org/10.1016/j.na.2013.02.019
Publication
Nonlinear Analysis: Theory, Methods and Applications
Status
Peer reviewed
DOI
https://doi.org/10.1016/j.na.2013.02.019
ISSN
0362-546X
Type
Journal article
Rights
This is the author's version of this article published in Nonlinear Analysis. The published version Copyright © 2013 Elsevier Ltd is available from http://www.sciencedirect.com
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/3538

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