November/December 2011 Local Cauchy problem for the MHD equations with mass diffusion
Jishan Fan, Tohru Ozawa
Differential Integral Equations 24(11/12): 1037-1046 (November/December 2011). DOI: 10.57262/die/1356012874

Abstract

This paper studies the Cauchy problem for the MHD equations with mass diffusion in a bounded domain in $\mathbb{R}^{3}$. We use Tikhonov's fixed-point theorem to prove the existence and uniqueness of local solutions.

Citation

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Jishan Fan. Tohru Ozawa. "Local Cauchy problem for the MHD equations with mass diffusion." Differential Integral Equations 24 (11/12) 1037 - 1046, November/December 2011. https://doi.org/10.57262/die/1356012874

Information

Published: November/December 2011
First available in Project Euclid: 20 December 2012

zbMATH: 1249.35247
MathSciNet: MR2866009
Digital Object Identifier: 10.57262/die/1356012874

Subjects:
Primary: 35Q30 , 76D03

Rights: Copyright © 2011 Khayyam Publishing, Inc.

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Vol.24 • No. 11/12 • November/December 2011
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