Subdifferential Inverse Problems for Magnetohydrodynamics
Alexander Chebotarev
Source: Methods Appl. Anal. Volume 17, Number 4
(2010), 395-406.
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.
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Methods and Applications of Analysis
