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More on Duality and Computation for the Ginzburg–Landau System

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Abstract

In chapter 16 we develop a duality principle and numerical results for Ginzburg-Landau type equations. Special emphasis is given to the matrix version of the generalized method of lines. In the last section we present the numerical solution of a problem in nuclear physics.

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References

  1. R.A. Adams, Sobolev Spaces (Academic Press, New York, 1975)

    Google Scholar 

  2. J.F. Annet, Superconductivity, Superfluids and Condensates. Oxford Master Series in Condensed Matter Physics, Oxford University Press, New YorK (2010)

    Google Scholar 

  3. F. Bethuel, H. Brezis, F. Helein, Ginzburg-Landau Vortices (Birkhäuser, Basel, 1994)

    Google Scholar 

  4. F. Botelho, Topics on Functional Analysis, Calculus of Variations and Duality (Academic Publications, Sofia, 2011)

    Google Scholar 

  5. I. Ekeland, R. Temam, Convex Analysis and Variational Problems (Elsevier-North Holland, Amsterdam 1976).

    Google Scholar 

  6. D.Y. Gao, Duality Principles in Nonconvex Systems, Theory, Methods and Applications (Kluwer, Dordrecht, 2000)

    Google Scholar 

  7. L.D. Landau, E.M. Lifschits, Course of Theoretical Physics, Vol. 5- Statistical Physics, Part 1 (Butterworth-Heinemann, Elsevier, reprint, 2008)

    Google Scholar 

  8. E.M. Lifschits, L.P. Pitaevskii, Course of Theoretical Physics, Vol. 9- Statistical Physics, Part 2 (Butterworth-Heinemann, Elsevier, reprint, 2002)

    Google Scholar 

  9. J.J.A. Silva, A. Alvin, M. Vilhena, C.Z. Petersen, B. Bodmann, On a Closed form Solution of the Point Kinetics Equations with Reactivity Feedback of Temperature. International Nuclear Atlantic Conference- INAC- ABEN, Belo Horizonte, MG, Brazil, October 24–28, 2011, ISBN: 978 -85-99141-04-05

    Google Scholar 

  10. J.C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, 2d edn. SIAM (Philadelphia, 2004)

    Google Scholar 

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Botelho, F. (2014). More on Duality and Computation for the Ginzburg–Landau System. In: Functional Analysis and Applied Optimization in Banach Spaces. Springer, Cham. https://doi.org/10.1007/978-3-319-06074-3_16

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