26 citations · 158 across the 39 of their papers we have counts for
4 papers · 1 filter
Differential galois theory and mechanics
Jean-François Pommaret
The classical Galois theory deals with certain finite algebraic extensions and establishes a bijective order reversing correspondence between the intermediate fields and the subgro…
A mathematical comment on gravitational waves
Jean-François Pommaret
In classical General Relativity, the way to exhibit the equations for the gravitational waves is based on two "tricks" allowing to transform the Einstein equations after linearizin…
Differential algebra and mathematical physics
Jean-François Pommaret
Many equations of mathematical physics are described by differential polynomials, that is by polynomials in the derivatives of a certain number of functions. However, up to the kno…
Algebraic Analysis and Mathematical Physics
Jean-Francois Pommaret
This paper aims to revisit the mathematical foundations of both General Relativity and Electromagnetism after one century, in the light of the formal theory of systems of partial d…