Magnetic Resonance Imaging and Spectroscopy using Squid Detection

Magnetic Resonance Imaging (MRI), with its unique capability to image soft tissues, has become one of the most powerful nondestructive diagnostic tools in medicine. MRI is still a developing methodology in non-medical nondestructive evaluation (NDE); this is because solids with their broader nuclear magnetic resonance (NMR) linewidths are more difficult to image than biological tissue. However, recently MRI has been attracting increasing interest in a number of areas where the NMR linewidth is not as serious a problem. These include fluid flow determination in materials including porous media [1], detecting defects in ceramics still in the green (unfired) state [2], and the evaluation of polymers such as rubber and other elastomers [3]. Superconducting Quantum Interference Devices, or SQUIDs, with their great sensitivity and broad bandwidth have the potential to enhance MRI in both medical and non-medical applications

Liver iron measurements with less expensive technology: comparison of a room-temperature susceptometer with SQUID in 84 subjects

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On the random kick-forced 3D Navier-Stokes equations in a thin domain

We consider the Navier-Stokes equations in the thin 3D domain T 2 × (0, ε), where T 2 is a two-dimensional torus. The equation is perturbed by a non-degenerate random kick-force. We establish that, firstly, when ε ≪ 1 the equation has a unique stationary measure and, secondly, after averaging in the thin direction this measure converges (as ε → 0) to a unique stationary measure for the Navier-Stokes equation on T 2. Thus, the 2D Navier-Stokes equations on surfaces describe asymptotic in time and limiting in ε statistical properties of 3D solutions in thin 3D domains