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Google Scholar. William F. Brown, "Micromagnetics,", Wiley , Gilles Carbou, Stability of static walls for a three-dimensional model of ferromagnetic material, , J. Pures Appl. Griffiths, "Introduction to Electrodynamics,", 3rd edition , Landau and E.

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In this work, we present a mathematical study of stability and controllability of one-dimensional network of ferromagnetic particles. The control is the magnetic field generated by a dipole whose position and whose amplitude can be selected. The evolution of the magnetic field in the network of particles is described by the Landau-Lifschitz equation. First, we model a network of ellipsoidal shape ferromagnetic particles.

Then, we prove the stability of relevant configurations and discuss the controllability by the means of the external magnetic field induced by the magnetic dipole. Finally some numerical results illustrate the stability and the controllability results.

Keywords: Landau-Lifschitz equation , Control. Control of a network of magnetic ellipsoidal samples. Google Scholar [3] S. Google Scholar [5] William F. Google Scholar [6] Gilles Carbou, Stability of static walls for a three-dimensional model of ferromagnetic material, , J.

Google Scholar [12] D. Google Scholar [16] L. Google Scholar [17] J. Google Scholar show all references. Citation Only. Citation and Abstract. Export Close. Send Email Close.


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Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Abstract: The Landau-Lifshitz-Gilbert equation describes magnetic behavior in ferromagnetic materials. Construction of numerical strategies to approximate weak solutions for this equation is made difficult by its top order nonlinearity and nonconvex constraint. In this paper, we discuss necessary scaling of numerical parameters and provide a refined convergence result for the scheme first proposed by Alouges and Jaisson As an application, we numerically study discrete finite time blowup in two dimensions. References [Enhancements On Off] What's this? Models Methods Appl.


Heat Flows and Relaxed Energies for Harmonic Maps

Google Scholar. William F. Brown, "Micromagnetics,", Wiley , Gilles Carbou, Stability of static walls for a three-dimensional model of ferromagnetic material, , J. Pures Appl.

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