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Local well‐posedness for the Cauchy problem of the MHD equations with mass diffusion
Author(s) -
Fan Jishan,
Ni Lidiao,
Zhou Yong
Publication year - 2010
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.1399
Subject(s) - mathematics , tikhonov regularization , initial value problem , cauchy problem , magnetohydrodynamics , cauchy distribution , mathematical analysis , diffusion , inverse problem , physics , magnetic field , quantum mechanics , thermodynamics
This paper studies the Cauchy problem of the MHD equations with mass diffusion. We use the Tikhonov fixed point theorem to prove a local‐in‐time well‐posedness theorem. Copyright © 2010 John Wiley & Sons, Ltd.
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