Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

On global solutions and asymptotic behavior of planar magnetohydrodynamics with large data


Author: Yuxi Hu
Journal: Quart. Appl. Math. 73 (2015), 759-772
MSC (2010): Primary 35B40, 35Q35, 76N10
DOI: https://doi.org/10.1090/qam/1413
Published electronically: September 11, 2015
MathSciNet review: 3432282
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Abstract: In this paper we consider an initial boundary value problem for planar magnetohydrodynamic compressible flows. By assuming that the adiabatic constant $ \gamma $ is sufficiently close to $ 1$, we prove the existence and uniqueness of global strong solutions with large initial data when all the viscosity, heat conductivity, and diffusivity coefficients are constant. Moreover, the asymptotic behavior of solutions is also investigated.


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Additional Information

Yuxi Hu
Affiliation: Department of Mathematics, China University of Mining and Technology, Beijing 100083, People’s Republic of China
Email: yxhu86@163.com

DOI: https://doi.org/10.1090/qam/1413
Received by editor(s): April 14, 2014
Received by editor(s) in revised form: August 17, 2014
Published electronically: September 11, 2015
Article copyright: © Copyright 2015 Brown University

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