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Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation


Reference:

Kurzke, M., Melcher, C., Moser, R. and Spirn, D., 2014. Vortex dynamics in the presence of excess energy for the Landau-Lifshitz-Gilbert equation. Calculus of Variations and Partial Differential Equations, 49 (3-4), pp. 1019-1043.

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    Official URL:

    http://dx.doi.org/10.1007/s00526-013-0609-5

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    Abstract

    We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong well-preparedness of the initial data and allows for instantaneous changes in the strength of the gyrovector force due to bubbling events. The main tools are estimates of the Hodge decomposition of the supercurrent and an analysis of the defect measure of weak convergence of the stress energy tensor. Ginzburg-Landau equations with mixed dynamics in the presence of excess energy are also discussed.

    Details

    Item Type Articles
    CreatorsKurzke, M., Melcher, C., Moser, R. and Spirn, D.
    DOI10.1007/s00526-013-0609-5
    Related URLs
    URLURL Type
    http://www.scopus.com/inward/record.url?eid=2-s2.0-84874674153&partnerID=8YFLogxKUNSPECIFIED
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementKurMelMosSpi.pdf: The original publication is available at www.springerlink.com
    RefereedYes
    StatusPublished
    ID Code29047

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