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December 2010 Subdifferential Inverse Problems for Magnetohydrodynamics
Alexander Chebotarev
Methods Appl. Anal. 17(4): 395-406 (December 2010).

Abstract

The theory of solvability of an abstract evolution inequality in a Hilbert space for the operators with the quadratic nonlinearity is presented. It is then applied for the study of an inverse problem for MHD flows. For the three-dimensional flows the global in time existence of the weak solutions to the inverse problem is proved. For the two-dimensional flows existence and uniqueness of the strong solutions are proved.

Citation

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Alexander Chebotarev. "Subdifferential Inverse Problems for Magnetohydrodynamics." Methods Appl. Anal. 17 (4) 395 - 406, December 2010.

Information

Published: December 2010
First available in Project Euclid: 24 May 2011

zbMATH: 1219.35167
MathSciNet: MR2800559

Subjects:
Primary: 35Q30, 35Q35, 49J40

Rights: Copyright © 2010 International Press of Boston

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Vol.17 • No. 4 • December 2010
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