Open AccessVariational Formulation with Deviating Arguments of Movable boundaries
Author(s) -
Baghdad Science Journal
Publication year - 2004
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.1.1.161-165
Subject(s) - boundary (topology) , mathematics , natural (archaeology) , boundary value problem , mathematical analysis , geology , paleontology
In this paper, we study, in details the derivation of the variational formulation corresponding to functional with deviating arguments corresponding to movable boundaries. Natural or transversility conditions are also derived, as well as, the Eulers equation. Example has been taken to explain how to apply natural boundary conditions to find extremal of this functional.