TITLE

Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part I: Analysis

AUTHOR(S)
Popovic, Nikola; Praetorius, Dirk; Schl�merkemper, Anja
PUB. DATE
June 2007
SOURCE
Continuum Mechanics & Thermodynamics;Jun2007, Vol. 19 Issue 1/2, p67
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The mathematical and physical analysis of magnetoelastic phenomena is a topic of ongoing research. Different formulae have been proposed to describe the magnetic forces in macroscopic systems. We discuss several of these formulae in the context of rigid magnetized bodies. In case the bodies are in contact, we consider formulae both in the framework of macroscopic electrodynamics and via a multiscale approach, i.e., in a discrete setting of magnetic dipole moments. We give mathematically rigorous proofs for domains of polygonal shape (as well as for more general geometries) in two and three space dimensions. In an accompanying second article, we investigate the formulae in a number of numerical experiments, where we focus on the dependence of the magnetic force on the distance between the bodies and on the case when the two bodies are in contact. The aim of the analysis as well as of the numerical simulation is to contribute to the ongoing debate about which formula describes the magnetic force between macroscopic bodies best and to stimulate corresponding real-life experiments.
ACCESSION #
25369596

 

Related Articles

  • Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential. Aydogdu, Oktay; Sever, Ramazan // Few-Body Systems;Apr2010, Vol. 47 Issue 3, p193 

    Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin�orbit coupling quantum number ?. The energy eigenvalue equation of the Dirac particles is found and the corresponding...

  • Generating Blending Surfaces with a Pseudo-L�vy Series Solution to Fourth Order Partial Differential Equations. Zhang, Jian J.; Comninos, P.; You, L. H. // Computing;2003, Vol. 71 Issue 4, p353 

    In our previous work, a more general fourth order partial differential equation (PDE) with three vector-valued parameters was introduced. This equation is able to generate a superset of the blending surfaces of those produced by other existing fourth order PDEs found in the literature. Since it...

  • Compensated compactness for nonlinear homogenization and reduction of dimension. P. Courilleau; J. Mossino // Calculus of Variations & Partial Differential Equations;May2004, Vol. 20 Issue 1, p65 

    We study the limit behaviour of some nonlinear monotone equations, such as: $-div(A^\epsilon \varphi (B^\epsilon \nabla U^\epsilon)) = F^\epsilon$ , in a domain $\Omega^\epsilon$ which is thin in some directions (e.g. $\Omega^\epsilon$ is a plate or a thin cylinder). After rescaling to a fixed...

  • DIAMETER BOUNDS AND HITCHIN-THORPE INEQUALITIES FOR COMPACT RICCI SOLITONS. FERN�NDEZ-L�PEZ, MANUEL; GARC�A-R�O, EDUARDO // Quarterly Journal of Mathematics;Sep2010, Vol. 61 Issue 3, p319 

    We give lower bounds for the diameter of a compact Ricci soliton depending on the scalar and Ricci curvatures as well as on the range of the potential function, which do not depend on the dimension of the manifold. As an application, sufficient conditions are provided for a four-dimensional...

  • A partial differential equation which describes an interatomic surface. SITE, L. DELLE // IMA Journal of Applied Mathematics;Aug2002, Vol. 67 Issue 4, p411 

    In this work we present a first-order partial differential equation which defines the topology of single �atomic entities� in multiatomic systems. Such an equation, obtained by R. F. W. Bader, is here analysed and discussed from a general mathematical point of view; a method is then...

  • Interactive decisions and potential games. Lucia Pusillo // Journal of Global Optimization;Mar2008, Vol. 40 Issue 1-3, p339 

    Abstract  The aim of this contribution is an overview on Potential Games. This class of games is special, in fact we can investigate their properties by a unique function: the potential function. We consider several types of potential games: exact, ordinal, bayesian and hierarchical. Some...

  • Effect of thermal radiation on temperature variation in 2-D stagnation-point flow. Vai Kuong Sin // International Journal of Computational & Mathematical Sciences;Autumn2010, Vol. 4 Issue 8, p400 

    Non-isothermal stagnation-point flow with consideration of thermal radiation is studied numerically. A set of partial differential equations that governing the fluid flow and energy is converted into a set of ordinary differential equations which is solved by Runge-Kutta method with shooting...

  • L p-Poincaré inequality for general symmetric forms. Yong Hua Mao // Acta Mathematica Sinica;Dec2009, Vol. 25 Issue 12, p2055 

    L p Poincaré inequalities for general symmetric forms are established by new Cheeger’s isoperimetric constants. L p super-Poincaré inequalities are introduced to describe the equivalent conditions for the L p compact embedding, and the criteria via the new Cheeger’s constants...

  • Global solutions and blow-up phenomena for the periodic b-equation. Zhang, S.; Yin, Z. // Journal of the London Mathematical Society;Oct2010, Vol. 82 Issue 2, p482 

    In the paper, we mainly study the Cauchy problem of a family of asymptotically equivalent shallow water wave equations, the so called periodic b-equation. We first establish the local well-posedness for the periodic b-equation. Then we derive the precise blow-up scenario and present two blow-up...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics