Complex variational calculus with mean of (min, +)-analysis

Autores

  • Michel Gondran University of Paris-Dauphine. Interdisciplinary European Academy of Sciences, Paris.
  • Abdelouahab Kenoufi SCORE, Scientific Consulting for Research and Engineering, Kingersheim. Interdisciplinary European Academy of Sciences, Paris.
  • Alexandre Gondran Ecole Nationale de l'Aviation Civile, Toulouse

DOI:

https://doi.org/10.5540/tema.2017.018.03.385

Palavras-chave:

Variational Calculus, Lagrangian, Hamiltonian, Action, Euler-Lagrange and Hamilton-Jacobi equations, complex (min, )-analysis, Maxwell’s equations, Born-Infeld theory.

Resumo

One develops a new mathematical tool, the complex (min, +)-analysis which permits to define a new variational calculus analogous to the classical one (Euler-Lagrange and Hamilton Jacobi equations), but which is well-suited for functions defined from C^n to C. We apply this complex variational calculus to Born-Infeld theory of electromagnetism and show why it does not exhibit nonlinear effects.

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Publicado

2018-01-10

Como Citar

Gondran, M., Kenoufi, A., & Gondran, A. (2018). Complex variational calculus with mean of (min, +)-analysis. Trends in Computational and Applied Mathematics, 18(3), 385. https://doi.org/10.5540/tema.2017.018.03.385

Edição

v. 18 n. 3 (2017)

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Artigo Original

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