Two-dimensional topological solitons in rectangular magnetic dots

A general approach allowing to find the analytical expressions for equilibrium magnetic structures in small and flat magnetic nano-sized cylinders of arbitrary shape made of soft magnetic material is presented. The resulting magnetization distributions are two-dimensional topological solitons and have a non-zero topological charge. The approach is illustrated here on an example of a thin rectangular particle.Comment: 3 pages, 2 figures, RevTex, for SCM2001 (Seeheim, Germany, 2001), satellite of JEMS'01 conferenc

Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations

Error estimates with optimal convergence orders are proved for a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. The scheme is a combination of Lagrange-Galerkin method and Brezzi-Pitkaranta's stabilization method. It maintains the advantages of both methods; (i) It is robust for convection-dominated problems and the system of linear equations to be solved is symmetric. (ii) Since the P1 finite element is employed for both velocity and pressure, the number of degrees of freedom is much smaller than that of other typical elements for the equations, e.g., P2/P1. Therefore, the scheme is efficient especially for three-dimensional problems. The theoretical convergence orders are recognized numerically by two- and three-dimensional computations

Automotive Stirling engine development program: A success

The original 5-yr Automotive Stirling Engine Development Program has been extended to 10 years due to reduced annual funding levels. With an estimated completion date of April 1988, the technical achievements and the prospectives of meeting the original program objectives are reviewed. Various other applications of this developed Stirling engine technology are also discussed

Sectorial sift, inverted U-shaped fertility dynamics, and growth

This paper constructs a small open two-sector overlapping-generations model with the subsistence level of consumption of agricultural goods and explains the following key stylized facts in the process of economic development: increases followed by declines in fertility rate, increases in human capital investment for children, and a sectorial shift in labor from agriculture to manufacture.Demographic transition Sectorial sift Economic development