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DIRECT EXPRESSION OF INCOMPATIBILITY IN CURVILINEAR SYSTEMS

Published online by Cambridge University Press:  08 July 2016

NICOLAS VAN GOETHEM*
Affiliation:
Universidade de Lisboa, Faculdade de Ciências, Departamento de Matemática, CMAF+CIO, Alameda da Universidade, C6, 1749-016 Lisboa, Portugal email vangoeth@fc.ul.pt
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Abstract

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We would like to present a method to compute the incompatibility operator in any system of curvilinear coordinates (components). The procedure is independent of the metric in the sense that the expression can be obtained by means of the basis vectors only, which are first defined as normal or tangential to the domain boundary, and then extended to the whole domain. It is an intrinsic method, to some extent, since the chosen curvilinear system depends solely on the geometry of the domain boundary. As an application, the in-extenso expression of incompatibility in a spherical system is given.

Type
Research Article
Copyright
© 2016 Australian Mathematical Society 

References

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DIRECT EXPRESSION OF INCOMPATIBILITY IN CURVILINEAR SYSTEMS
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