Inverse Boundary Value Problem for the Magnetohydrodynamics Equations | Zendy

Lianhua He | Zendy; Zhong Tan | Zendy

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Inverse Boundary Value Problem for the Magnetohydrodynamics Equations

Author(s) -

Lianhua He,

Zhong Tan

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9966687

Subject(s) - magnetohydrodynamics , inverse problem , boundary value problem , inverse , value (mathematics) , mathematical analysis , mathematics , physics , magnetic field , geometry , statistics , quantum mechanics

In this paper, we consider the stationary magnetohydrodynamics (MHD) equations in a bounded domain of ℝ d d = 2 , 3 with viscosity and magnetic diffusing. By the linearization technique, we prove that the uniqueness of viscosity function and magnetic diffusing function in the MHD equations is determined from the knowledge of the Cauchy data measured on the boundary.

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