On a Nonlinear Bessel Equation | Zendy

Yoshinori Kametaka | Zendy

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On a Nonlinear Bessel Equation

Author(s) -

Yoshinori Kametaka

Publication year - 1972

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195193231

Subject(s) - bessel function , superconductivity , magnetic field , type ii superconductor , boundary value problem , nonlinear system , magnetic flux , critical field , mathematics , condensed matter physics , physics , cylinder , flux (metallurgy) , mathematical analysis , mathematical physics , quantum mechanics , geometry , chemistry , organic chemistry

In the theory of type II superconductivity A. A. Abrikosov discovered in 1957 that the so-called Abrikosov's mixed state can be described as a special solution of Ginzburg-Landau equation the basic equation of the theory of superconductivity (C2H). Suppose that there exists a cylindrical superconductor of type II at temperature below its critical value Tc and there exists external magnetic field parallel to its axis of cylinder the strength of which is lower than upper critical field HcZ. Abrikosov's mixed state is the phenomenon that the magnetic flux penetrates the superconductor forming triangular lattices of flux lines and the fluxoid of each flux line is quantized. To describe one flux line Abrikosov derived from Ginzburg-Landau equation the singular boundary value problem for a nonlinear Bessel equation.

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