scholarly journals Stability estimates for the inverse boundary value problem by partial Cauchy data

2014 ◽  
Vol 38 (8) ◽  
pp. 1568-1581 ◽  
Author(s):  
Ru-Yu Lai
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Cauchy Data ◽  
Stability Estimates ◽  
Inverse Boundary ◽  
Inverse Boundary Value Problem

scholarly journals Inverse Boundary Value Problem for the Magnetohydrodynamics Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Lianhua He ◽  
Zhong Tan
Keyword(s):  
Boundary Value Problem ◽  
Bounded Domain ◽  
Boundary Value ◽  
Cauchy Data ◽  
Mhd Equations ◽  
Magnetohydrodynamics Equations ◽  
Inverse Boundary ◽  
Linearization Technique ◽  
Inverse Boundary Value Problem ◽  
Viscosity Function

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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