We investigate degenerate saddle point problems, which can be viewed as limit cases of standard mixed formulations of symmetric problems with large jumps in coefficients. We prove that they are well-posed in a standard norm despite the degeneracy. By wellposedness we mean a stable dependence of the solution on the right-hand side. A known approach of splitting the saddle point problem into sepa...

Most permanent magnet (PM) loss studies consider only eddy current and neglect hysteresis. In this article, the hysteresis behavior of two NdFeB PM grades with different magnetic properties is assessed when applied in a PMSM. Data from vibrating sample magnetometer measurements modeling are used as base. addition to main phase, samples contained phases reduced coercivity. Such may contribute lo...

Effects of post-sintering annealing treatment between 300 and 1000ºC for up to 8 hrs time periods followed by either furnace cooling (FC) or air-cooling (AC) on the hard magnetic properties of some Nd-Fe-B based sintered magnets was investigated. It was shown that the intrinsic coercivity (Hci), second quadrant demagnetization loop shape and thus the energy density (BH)max varied considerably a...

The authors have investigated the correlation between magnetic properties, growth structure, and internal stress of epitaxially grown Co35Pd65 alloy films on Cu–Si(100) in the alloy thickness range from 1 monolayer (ML) to 10 ML. An in situ surface magneto-optical Kerr effects (SMOKE) study revealed that Co35Pd65 alloy films showed room-temperature ferromagnetism at a coverage of 2 ML with a st...

A hysteresis model with dipole interaction: one more devil-staircase. Abstract Magnetic properties of 2D systems of magnetic nanoobjects (2D regular lattices of the magnetic nanoparticles or magnetic nanostripes) are considered. The analytical calculation of the hysteresis curve of the system with interaction between nanoob-jects is provided. It is shown that during the magnetization reversal s...

We study dynamic minimization problems of the calculus of variations with Lagrangian functionals containing Riemann–Liouville fractional integrals, classical and Caputo fractional derivatives. Under assumptions of regularity, coercivity and convexity, we prove existence of solutions. AMS Subject Classifications: 26A33, 49J05.

Strawson’s case in favor of panpsychism is at heart an updated version of a venerable form of argument I’ll call the ‘intrinsic nature’ argument. It is an extremely interesting argument which deploys all sorts of high caliber metaphysical weaponry (despite the ‘down home’ appeals to common sense which Strawson frequently makes). The argument is also subtle and intricate. So let’s spend some tim...

This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy based on the Frank-Oseen free-energy model. Solutions to the intermediate discretized free elastic linearizations are shown to exist generally and are uniqu...

We discuss some recent developments in the study of regularity and stability for a first order Hamilton-Jacobi system: ∇u(x) ∈ K, where K is a closed set of n × m-matrices and u is a map from a domain Ω ⊂ R to R. For regularity of solutions, we obtain a higher integrability from a very weak integral coercivity condition known as the L-mean coercivity. For the stability, we study W sequences {uj...

SmCo5 based magnets with smaller size and larger maximum energy product have been long desired in various fields such as renewable energy technology, electronic industry and aerospace science. However, conventional relatively rough synthetic strategies will lead to either diminished magnetic properties or irregular morphology, which hindered their wide applications. In this article, we present ...