oil and gas transmission pipelines are critical items of infrastructure in providing energy sources to regions and countries. steel pipes are commonly used which can be subject to both internal and external corrosion. this paper presents an advanced nondestructive inspection technique for detection of oil-gas pipeline corrosion defect. the pulsed eddy current (pec) method has been successfully ...

In this report we investigate the continuous dependence with respect to the initial data of the solutions for the 1D and 1.5D relativistic Vlasov-Maxwell system. More precisely we prove that these solutions propagate with finite speed. We formulate our results in the framework of mild solutions, i.e., the particle densities are solutions by characteristics and the electro-magnetic fields are Li...

Purpose To develop a general framework for parallel imaging (PI) with the use of Maxwell regularization estimation sensitivity maps (SMs) and constrained optimization parameter‐free image reconstruction. Theory Methods Certain characteristics both SMs images are routinely used to regularize otherwise ill‐posed optimization‐based joint reconstruction from highly accelerated PI data. In this pape...

Numerous Mircea Puta’s papers were dedicated to the study of Maxwell Bloch equations. The main purpose of this paper is to present several types of fractional Maxwell Bloch equations. M.S.C. 2000: 53D17, 58F06.