Complex Variational Calculus with Mean of (min, +)-analysis

Detalhes bibliográficos
Autor(a) principal: GONDRAN,M.
Data de Publicação: 2017
Outros Autores: KENOUFI,A., GONDRAN,A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300385
Resumo: ABSTRACT 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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spelling Complex Variational Calculus with Mean of (min, +)-analysisVariational CalculusLagrangianHamiltonianActionEuler-Lagrange and Hamilton-Jacobi equationscomplex (min, +)-analysisMaxwell’s equationsBorn-Infeld theoryABSTRACT 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.Sociedade Brasileira de Matemática Aplicada e Computacional2017-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300385TEMA (São Carlos) v.18 n.3 2017reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2017.018.03.0385info:eu-repo/semantics/openAccessGONDRAN,M.KENOUFI,A.GONDRAN,A.eng2018-02-08T00:00:00Zoai:scielo:S2179-84512017000300385Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2018-02-08T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Complex Variational Calculus with Mean of (min, +)-analysis
title Complex Variational Calculus with Mean of (min, +)-analysis
spellingShingle Complex Variational Calculus with Mean of (min, +)-analysis
GONDRAN,M.
Variational Calculus
Lagrangian
Hamiltonian
Action
Euler-Lagrange and Hamilton-Jacobi equations
complex (min, +)-analysis
Maxwell’s equations
Born-Infeld theory
title_short Complex Variational Calculus with Mean of (min, +)-analysis
title_full Complex Variational Calculus with Mean of (min, +)-analysis
title_fullStr Complex Variational Calculus with Mean of (min, +)-analysis
title_full_unstemmed Complex Variational Calculus with Mean of (min, +)-analysis
title_sort Complex Variational Calculus with Mean of (min, +)-analysis
author GONDRAN,M.
author_facet GONDRAN,M.
KENOUFI,A.
GONDRAN,A.
author_role author
author2 KENOUFI,A.
GONDRAN,A.
author2_role author
author
dc.contributor.author.fl_str_mv GONDRAN,M.
KENOUFI,A.
GONDRAN,A.
dc.subject.por.fl_str_mv Variational Calculus
Lagrangian
Hamiltonian
Action
Euler-Lagrange and Hamilton-Jacobi equations
complex (min, +)-analysis
Maxwell’s equations
Born-Infeld theory
topic Variational Calculus
Lagrangian
Hamiltonian
Action
Euler-Lagrange and Hamilton-Jacobi equations
complex (min, +)-analysis
Maxwell’s equations
Born-Infeld theory
description ABSTRACT 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.
publishDate 2017
dc.date.none.fl_str_mv 2017-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300385
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300385
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2017.018.03.0385
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.18 n.3 2017
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
instacron_str SBMAC
institution SBMAC
reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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