26 citations · 158 across the 39 of their papers we have counts for
39 papers
From Kalman to Einstein and Maxwell: the Structural Controllability Revisited
Jean-Francois Pommaret
In the Special Relativity paper of Einstein (1905), only a footnote provides a reference to the conformal group of space-time for the Minkowski metric . We prove that General Re…
Cauchy, Cosserat, Clausius, Maxwell, Weyl Equations Revisited
J. -F. Pommaret
The Cauchy stress equations (1823), the Cosserat couple-stress equations (1909), the Clausius virial equation (1870), the Maxwell/Weyl equations (1873,1918) are among the most famo…
Control Theory and Parametrizations of Linear Partial Differential Operators
Jean-Francois Pommaret
When is a linear OD or PD operator, a "direct problem" is to find compatibility conditions (CC) as an operator such that ${\…
Differential Galois Theory and Hopf Algebras for Lie Pseudogroups
J. -F. Pommaret
According to a quite clever but never acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, " Differential Galois Theory " (DGT) has mainly to do…
Gravitational Waves and Pommaret Bases
J. -F. Pommaret
The first finite length differential sequence, now called {\it Janet sequence}, has been introduced by Janet in 1920. Thanks to the first book of Pommaret in 1978, this algorithmic…
General Relativity and Gauge Theory: Beyond the Mirror
J. -F. Pommaret
Lie pseudogroups are groups of transformations solutions of systems of ordinary (OD) or partial differential (PD) equations. The purpose of this paper is to present an elementary s…