Variational characterization of equations of motion in bundles of embeddings.

Cendra, Hernán, and Lacomba, Ernesto A.. "Variational characterization of equations of motion in bundles of embeddings.." Revista Matemática Iberoamericana 5.3-4 (1989): 171-182. <http://eudml.org/doc/39389>.

@article{Cendra1989,
abstract = {In this paper we study variational principles for a general situation which includes free boundary problems with surface tension. Following [2], our main result concerns a variational principle in a infinite dimensional principal bundle of embeddings of a compact region D in a manifold M having the same dimension as D. By considering arbitrary variations, free boundary problems are included, while variations parallel to the boundary permit to consider fluid motion or flow of Hamiltonian vector fields in non compact regions, generalizing [3], [4].In section 2 the main result is stated and proved. The Lagrangian includes a boundary term allowing us to include surface tension [5], or to remove it. Section 3 applies our result to Hamiltonian vector fields, while Section 4 concerns free boundary problems.},
author = {Cendra, Hernán, Lacomba, Ernesto A.},
journal = {Revista Matemática Iberoamericana},
keywords = {Principio variacional; Espacio fibrado; Ecuaciones; Inclusiones; Tensión superficial; variational principles; bundle of embeddings; Hamiltonian vector fields},
language = {eng},
number = {3-4},
pages = {171-182},
title = {Variational characterization of equations of motion in bundles of embeddings.},
url = {http://eudml.org/doc/39389},
volume = {5},
year = {1989},
}

TY - JOUR
AU - Cendra, Hernán
AU - Lacomba, Ernesto A.
TI - Variational characterization of equations of motion in bundles of embeddings.
JO - Revista Matemática Iberoamericana
PY - 1989
VL - 5
IS - 3-4
SP - 171
EP - 182
AB - In this paper we study variational principles for a general situation which includes free boundary problems with surface tension. Following [2], our main result concerns a variational principle in a infinite dimensional principal bundle of embeddings of a compact region D in a manifold M having the same dimension as D. By considering arbitrary variations, free boundary problems are included, while variations parallel to the boundary permit to consider fluid motion or flow of Hamiltonian vector fields in non compact regions, generalizing [3], [4].In section 2 the main result is stated and proved. The Lagrangian includes a boundary term allowing us to include surface tension [5], or to remove it. Section 3 applies our result to Hamiltonian vector fields, while Section 4 concerns free boundary problems.
LA - eng
KW - Principio variacional; Espacio fibrado; Ecuaciones; Inclusiones; Tensión superficial; variational principles; bundle of embeddings; Hamiltonian vector fields
UR - http://eudml.org/doc/39389
ER -