26 citations · 158 across the 39 of their papers we have counts for
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math.AP2009
Parametrization of Cosserat Equations
Jean-François Pommaret
As a matter of fact, the solution space of many systems of ordinary or partial differential equations in engineering or mathematical physics "can/cannot" be parametrized by a certa…
math.AP2009
Arnold Hydrodynamics Revisited
Jean-François Pommaret
The purpose of this paper is to revisit the infinite Lie group theoretical framework of hydrodynamics developped by V. Arnold in 1966. First of all, we extend this approach from th…
math.AP2009
Macaulay inverse systems revisited
Jean-François Pommaret
Since its original publication in 1916 under the title "The Algebraic Theory of Modular Systems", the book by F. S. Macaulay has attracted a lot of scientists with a view towards p…