أعرض تسجيلة المادة بشكل مبسط

dc.creator Vankerschaver, Joris
dc.creator Martín de Diego, David
dc.date 2007-11-21T12:03:09Z
dc.date 2007-11-21T12:03:09Z
dc.date 2008
dc.date.accessioned 2017-01-31T00:58:54Z
dc.date.available 2017-01-31T00:58:54Z
dc.identifier Journal of Physics A: Mathematical and Theoretical, 2008
dc.identifier 1751-8121
dc.identifier http://hdl.handle.net/10261/2274
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2274
dc.description The developments in this paper are concerned with nonholonomic field theories in the presence of symmetries. Having previously treated the case of vertical symmetries, we now deal with the case where the symmetry action can also have a horizontal component. As a first step in this direction, we derive a new and convenient form of the field equations of a nonholonomic field theory. Nonholonomic symmetries are then introduced as symmetry generators whose virtual work is zero along the constraint submanifold, and we show that for every such symmetry, there exists a so-called momentum equation, describing the evolution of the associated component of the momentum map. Keeping up with the underlying geometric philosophy, a small modification of the derivation of the momentum lemma allows us to treat also generalized nonholonomic symmetries, which are vector fields along a projection. Such symmetries arise for example in practical examples of nonholonomic field theories such as the Cosserat rod, for which we recover both energy conservation (a previously known result), as well as a modified conservation law associated with spatial translations.
dc.description Peer reviewed
dc.language eng
dc.publisher Institute of Physics Publishing
dc.rights openAccess
dc.title Symmetry aspects of nonholonomic field theories
dc.type Artículo


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أعرض تسجيلة المادة بشكل مبسط