대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권6호
  • /
  • Pages.1207-1218
  • /
  • 2009
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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ON ENERGY ESTIMATES FOR A LANDAU-LIFSCHITZ TYPE FUNCTIONAL IN HIGHER DIMENSIONS

  • Qi, Longxing (INSTITUTE OF MATHEMATICS SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE NANJING NORMAL UNIVERSITY) ;
  • Lei, Yutian (INSTITUTE OF MATHEMATICS SCHOOL OF MATHEMATICS AND COMPUTER SCIENCE NANJING NORMAL UNIVERSITY)
  • 발행 : 2009.11.01
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초록

The authors study the asymptotic behavior of radial minimizers of an energy functional associated with ferromagnets and antiferromagnets in higher dimensions. The location of the zeros of the radial minimizer is discussed. Moreover, several uniform estimates for the radial minimizer are presented. Based on these estimates, the authors establish global convergence of radial minimizers.

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참고문헌

  1. F. Bethuel, H. Brezis, and F. Helein, Ginzburg-Landau Vortices, Birkhauser, Berlin, 1994.
  2. M. Comte and P. Mironescu, The behavior of a Ginzburg-Landau minimizer near its zeroes, Calc. Var. Partial Differential Equations 4 (1996), no. 4, 323-340. https://doi.org/10.1007/BF01190822
  3. F. B. Hang and F. H. Lin, Static theory for planar ferromagnets and antiferromagnets, Acta Math. Sin. (Engl. Ser.) 17 (2001), no. 4, 541-580. https://doi.org/10.1007/s101140100136
  4. Y. T. Lei, Asymptotic behavior of the regularized minimizer of an energy functional in higher dimensions, J. Math. Anal. Appl. 334 (2007), no. 2, 1341-1362. https://doi.org/10.1016/j.jmaa.2007.01.006
  5. Y. T. Lei, Some results on an n-Ginzburg-Landau-type minimizer, J. Comput. Appl. Math. 217 (2008), no. 1, 123-136. https://doi.org/10.1016/j.cam.2007.06.021
  6. P. Mironescu, Une estimation pour les minimiseurs de lenergie de Ginzburg-Landau, C. R. Acad. Sci. Paris Ser. I Math. 319 (1994), no. 9, 941-943.
  7. N. Papanicolaou and P. N. Spathis, Semitopological solitons in planar ferromagnets, Nonlinearity 12 (1999), no. 2, 285-302. https://doi.org/10.1088/0951-7715/12/2/008
  8. M. Struwe, Une estimation asymptotique pour le modele de Ginzburg-Landau, C. R. Acad. Sci. Paris Ser. I Math. 317 (1993), no. 7, 677-680.