A mathematical model based on the principle of less contractions is proposed for the construction of velocity vector fields and forces from given integrals. Necessary algebraic conditions for the solution of the problem are deduced. In addition, the velocity vector field is extended in a neighbourhood of the integrals. Applications and examples are given.
@article{urn:eudml:doc:41782,
title = {Construcci\'on de campos vectoriales en base a integrales parciales dadas.},
journal = {Collectanea Mathematica},
volume = {40},
year = {1989},
pages = {241-275},
zbl = {0717.70013},
mrnumber = {MR1099244},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41782}
}
Ramírez, Rafael; Sadovskaia, Natalia. Construcción de campos vectoriales en base a integrales parciales dadas.. Collectanea Mathematica, Tome 40 (1989) pp. 241-275. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41782/