Zobrazeno 1 - 10
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pro vyhledávání: '"Frédéric Hélein"'
Autor:
Frédéric Hélein
The author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressi
Autor:
Frédéric Hélein
Publikováno v:
Letters in Mathematical Physics. 112
We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no fibration is as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6deda7769c6ff23158973f83b85dcb0
https://doi.org/10.1007/s11005-022-01591-6
https://doi.org/10.1007/s11005-022-01591-6
Autor:
Frédéric Hélein
Publikováno v:
Advances in Theoretical and Mathematical Physics. 24:305-326
For any positive integer n and any Lie group G, given a definite symmetric bilinear form on R n and an Ad-invariant scalar product on the Lie algebra of G, we construct a variational problem on fields defined on an arbitrary (n + dimG)-dimensional ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06b858004bd150175b58b1b0fa9c5162
https://doi.org/10.4310/atmp.2020.v24.n2.a3
https://doi.org/10.4310/atmp.2020.v24.n2.a3
Autor:
Frédéric Hélein, Marie Farge
Publikováno v:
EMS Newsletter. :35-40
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11add7812b89700b978e4daef3f85da8
https://doi.org/10.4171/news/108/10
https://doi.org/10.4171/news/108/10
Autor:
Frédéric Hélein, Frédéric Hélein
Publikováno v:
Advances in Theoretical and Mathematical Physics. 19:805-835
We present a multisymplectic formulation of the Yang- Mills equations. The connections are represented by normalized equivariant 1-forms on the total space of a principal bundle, with values in a Lie alge- bra. Within the multisymplectic framework we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd5170c1ba9b423a053461ed9a8b7665
https://doi.org/10.4310/atmp.2015.v19.n4.a4
https://doi.org/10.4310/atmp.2015.v19.n4.a4
This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition ph
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783319684444
GSI
GSI
In the seventies, Arnold has a geometric approach by considering a dynamical system as a map taking values in an abstract Lie group. As such, he was able to highlight fundamental equivalencies between rigid body motion and fluids dynamic depending on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f3547c712706e5d92f020d6df207f8e
https://doi.org/10.1007/978-3-319-68445-1_45
https://doi.org/10.1007/978-3-319-68445-1_45
Publikováno v:
Modern Birkhäuser Classics ISBN: 9783319666723
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91f666e28d9a59bb4c93101e6fd996b6
https://doi.org/10.1007/978-3-319-66673-0_3
https://doi.org/10.1007/978-3-319-66673-0_3
Publikováno v:
Modern Birkhäuser Classics ISBN: 9783319666723
Ginzburg-Landau Vortices ISBN: 9780817637231
Ginzburg-Landau Vortices ISBN: 9780817637231
Throughout this chapter, we analyze the behavior as \( \varepsilon \to 0 \) of solutions ve of the Ginzburg-Landau equation: $$ - \Delta {v_\varepsilon } = \frac{1}{{{\varepsilon ^2}}}{v_\varepsilon }\left( {1 - {{\left| {{v_\varepsilon }} \right|}^2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1a47f2fdbd31ac9b7236544543a3bed
https://doi.org/10.1007/978-3-319-66673-0_10
https://doi.org/10.1007/978-3-319-66673-0_10
Publikováno v:
Modern Birkhäuser Classics ISBN: 9783319666723
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9ea32a26b002762953b7f6c5fb54ab9
https://doi.org/10.1007/978-3-319-66673-0
https://doi.org/10.1007/978-3-319-66673-0