Zobrazeno 1 - 10
of 283
pro vyhledávání: '"J.-F. Pommaret"'
Autor:
J.-F. Pommaret
Publikováno v:
Journal of Modern Physics. 12:453-482
When ${\cal{D}}:\xi \rightarrow \eta$ is a linear differential operator, a "direct problem " is to find the generating compatibility conditions (CC) in the form of an operator ${\cal{D}}_1:\eta \rightarrow \zeta$ such that ${\cal{D}}\xi=\eta$ implies
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ef3653431f6f6f35cb4f8781fb17c2c
https://doi.org/10.4236/jmp.2021.124032
https://doi.org/10.4236/jmp.2021.124032
Autor:
J.-F. Pommaret
Publikováno v:
Journal of Modern Physics. 12:1822-1842
Since 100 years or so, it has been usually accepted that the conformal group could be defined in an arbitrary dimension n as the group of transformations preserving a non-degenerate flat metric up to a nonzero invertible point depending factor called
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0acfdc0c4d4fc666330d568726a088ed
https://doi.org/10.4236/jmp.2021.1213106
https://doi.org/10.4236/jmp.2021.1213106
Autor:
J.-F. Pommaret
Publikováno v:
Advances in Pure Mathematics. 11:835-882
When a differential field $K$ having $n$ commuting derivations is given together with two finitely generated differential extensions $L$ and $M$ of $K$, an important problem in differential algebra is to exhibit a common differential extension $N$ in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eea5aa0e68e6de36000af4c815337981
https://doi.org/10.4236/apm.2021.1111056
https://doi.org/10.4236/apm.2021.1111056
Autor:
J.-F. Pommaret
Publikováno v:
Journal of Modern Physics. 10:1566-1595
The first purpose of this striking but difficult paper is to revisit the mathematical foundations of Elasticity (EL) and Electromagnetism (EM) by comparing the structure of these two theories and examining with details their known couplings, in parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba8164c69b48fbce4668f615df0ceb70
https://doi.org/10.4236/jmp.2019.1013104
https://doi.org/10.4236/jmp.2019.1013104
Autor:
J.-F. Pommaret
Publikováno v:
Journal of Modern Physics. 10:371-401
The search for the generating compatibility conditions (CC) of a given operator is a very recent problem met in general relativity in order to study the Killing operator for various standard useful metrics. Accordingly, this paper can be considered a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ab8d76a7737f2893c04262cc81c78e2
https://doi.org/10.4236/jmp.2019.103025
https://doi.org/10.4236/jmp.2019.103025
Autor:
J.-F. Pommaret
A few physicists have recently constructed the generating compatibility conditions (CC) of the Killing operator for the Minkowski (M) , Schwarzschild (S) and Kerr (K) metrics. They discovered second order CC, well known for M, but also third order CC
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac021d26ab877093c01744fc26236d7f
http://arxiv.org/abs/2010.07001
http://arxiv.org/abs/2010.07001
Autor:
J.-F. Pommaret
Publikováno v:
Journal of Modern Physics. :2122-2158
The purpose of this short but difficult paper is to revisit the mathematical foundations of both General Relativity (GR) and Gauge Theory (GT) in the light of a modern approach to nonlinear systems of ordinary or partial differential equations, using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10d3004b66d51c19603109f2318c913a
https://doi.org/10.4236/jmp.2017.813130
https://doi.org/10.4236/jmp.2017.813130
Autor:
J.-F. Pommaret
In recent papers, a few physicists studying Black Hole perturbation theory in General Relativity have tried to construct the initial part of a differential sequence based on the Kerr metric, using methods similar to the ones they already used for stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d04409f6ede792e9dc85bae6d86ff9af
http://arxiv.org/abs/1805.11958
http://arxiv.org/abs/1805.11958
Autor:
J.-F. Pommaret, A. Quadrat
Publikováno v:
International Journal of Control. 77:821-836
We use recent improvements in the parametrizations of controllable linear multidimensional systems to show how to transform the study of a linear quadratic optimal problem into that of a variational problem without constraints. We give formal conditi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51ede508a14adda33ff278c04e18b1d2
https://doi.org/10.1080/00207170410001726813
https://doi.org/10.1080/00207170410001726813