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Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid
Author(s) -
Hamdache K.,
JaffalMourtada B.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2608
Subject(s) - uniqueness , magnetohydrodynamic drive , magnetohydrodynamics , mathematics , domain (mathematical analysis) , flow (mathematics) , work (physics) , fluid dynamics , magnetic field , small data , mathematical analysis , calculus (dental) , mechanics , physics , geometry , thermodynamics , computer science , medicine , dentistry , quantum mechanics , data mining
In this work, we consider the flow of a second grade fluid in a conducting domain of R 3 and in the presence of a magnetic field. When the initial data are of arbitrary size, we prove that the solution of the magnetohydrodynamics problem exists for a small time and is unique. We also show the global existence of solutions for small initial data. Copyright © 2012 John Wiley & Sons, Ltd.