scholarly journals Axially symmetric semi-infinite domain models of microdialysis and their application to the determination of nutritive flow in rat muscle

2005 ◽  
Vol 563 (1) ◽  
pp. 213-228 ◽  
Author(s):  
Jason L. Roberts ◽  
John M. B. Newman ◽  
Roland Warner ◽  
Stephen Rattigan ◽  
Michael G. Clark
Keyword(s):  
Axially Symmetric ◽  
Infinite Domain ◽  
Rat Muscle ◽  
Domain Models

Determination of Ao for Axially Symmetric Molecules Part III . CH3I

1967 ◽  
Vol 23 (3) ◽  
pp. 302-306 ◽  
Author(s):  
Thomas L. Barnett ◽  
T.H. Edwards
Keyword(s):  
Axially Symmetric

Determination of A0 for axially symmetric molecules

1966 ◽  
Vol 20 (4) ◽  
pp. 352-358 ◽  
Author(s):  
Thomas L. Barnett ◽  
T.H. Edwards
Keyword(s):  
Axially Symmetric

scholarly journals DETERMINATION OF JOIN REGIONS BETWEEN CARBON NANOSTRUCTURES USING VARIATIONAL CALCULUS

2013 ◽  
Vol 54 (4) ◽  
pp. 221-247 ◽  
Author(s):  
D. BAOWAN ◽  
B. J. COX ◽  
J. M. HILL
Keyword(s):  
Carbon Nanotubes ◽  
Variational Principle ◽  
Carbon Nanostructures ◽  
Lagrange Equation ◽  
Variational Calculus ◽  
Two Dimensional ◽  
Axially Symmetric ◽  
Dimensional Plane ◽  
Continuous Models

AbstractWe review the work of the present authors to employ variational calculus to formulate continuous models for the connections between various carbon nanostructures. In formulating such a variational principle, there is some evidence that carbon nanotubes deform as in perfect elasticity, and rather like the elastica, and therefore we seek to minimize the elastic energy. The calculus of variations is utilized to minimize the curvature subject to a length constraint, to obtain an Euler–Lagrange equation, which determines the connection between two carbon nanostructures. Moreover, a numerical solution is proposed to determine the geometric parameters for the connected structures. Throughout this review, we assume that the defects on the nanostructures are axially symmetric and that the into-the-plane curvature is small in comparison to that in the two-dimensional plane, so that the problems can be considered in the two-dimensional plane. Since the curvature can be both positive and negative, depending on the gap between the two nanostructures, two distinct cases are examined, which are subsequently shown to smoothly connect to each other.

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