Papers by Srikanth Potukuchi
In this project, we perform a sensitivity analysis for the MREIT (Magnetic Resonance Electrical I... more In this project, we perform a sensitivity analysis for the MREIT (Magnetic Resonance Electrical Impedance Tomography) experiment, which measures the magnitude of interior current density. We analyze the effect of parameters to that measured data through p−metrics. After defining the critical noise level, which is the largest noise level for the inclusion to be detectable, we establish a nonlinear relationship between this and the detectabilities. Eventually, we show the critical noise level is propotional to the fourth root of the inclusion diameter.
The Lyapunov Stability problem has been of great interest to the mathematical community since ove... more The Lyapunov Stability problem has been of great interest to the mathematical community since over a century. In this thesis, we look at some recent developments in this field by L.T. Grujić [2, 3] and S.F. Hafstein [4]. Comparisons among different approaches in finding the domain of asymptotic stability are included.
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Papers by Srikanth Potukuchi