23 citations · 135 across the 39 of their papers we have counts for
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math.DS2000★ 23 cited
Solutions of DEs and PDEs as Potential Maps Using First Order Lagrangians
Constantin Udriste
Using parametrized curves (Section 1) or parametrized sheets (Section 3), and suitable metrics, we treat the jet bundle of order one as a semi-Riemann manifold. This point of view…
math.DS2000★ 19 cited
Nonclassical Lagrangian Dynamics and Potential Maps
Constantin Udriste
Section 1 refines the theory of harmonic and potential maps. Section 2 defines a generalized Lorentz world-force law and shows that any PDEs system of order one generates such a la…
math.DS2000★ 3 cited
From flows and metrics to dynamics
C. Udriste, A. Udriste
Recall that a vector field on an n-dimensional differentiable manifold M is a mapping X defined on M with values in the tangent bundle TM that assigns to each point a vect…