Titlebook: Ginzburg-Landau Phase Transition Theory and Superconductivity; Karl-Heinz Hoffmann,Qi Tang Book 2001 Springer Science+Business Media New Y

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Asymptotics Involving Magnetic Potential,ussions. As we will see, the introduction of the magnetic field facilitates the asymptotic analysis a great deal. The presence of the magnetic field allows us to derive an expression for the velocity of vortices that we were unable to obtain in the pure G-L case.

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Thin Plate/Film G-L Models,eoretically, the limit would yield the G-L superconductivity model for an ideal 2-d plate/film. Naturally, it is very interesting to see if this 2-d plate/film model has anything to do with the 2-d G-L system. The conclusion is, it depends on which 3-d model we start from.

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Numerical Analysis,ates, they are not very difficult to obtain. In this chapter, however, we discuss the a posteriori error analysis in the numerical analysis of the two-d G-L system that is more interesting from the numerical analysis point of view. We discuss both the Galerkin method and the finite element method.

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978-3-0348-9499-9Springer Science+Business Media New York 2001

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0373-3149 f great interest to theoretical physicists and has been continuously and persistently studied since the 1950s. Today, there is an abundance of mathematical results spread over numer- ous scientific journals. However, before 1992, most of the studies concentrated on formal asymptotics or linear analy

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Erratum to: Das Deutsche Reich,ions, the initial data ψ.(.) depends on ε, we should write, in our text, theinitial data as ψ.(.) rather than ψ.(.). But for the purpose of simplifying notation,we often write, when there is no confusion, ψ. rather than ψ.. It is assumed thatthe boundary data . is independent of ε.

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The Slow Motion of Vortices,ions, the initial data ψ.(.) depends on ε, we should write, in our text, theinitial data as ψ.(.) rather than ψ.(.). But for the purpose of simplifying notation,we often write, when there is no confusion, ψ. rather than ψ.. It is assumed thatthe boundary data . is independent of ε.