132 citations · 513 across the 41 of their papers we have counts for
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Stability of helical tubes conveying fluid
François Gay-Balmaz, Dimitri Georgievskii, Vakhtang Putkaradze
We study the linear stability of elastic collapsible tubes conveying fluid, when the equilibrium configuration of the tube is helical. A particular case of such tubes, commonly enc…
Dynamics of elastic rods in perfect friction contact
François Gay-Balmaz, Vakhtang Putkaradze
One of the most challenging and basic problems in elastic rod dynamics is a description of rods in contact that prevents any unphysical self-intersections. Most previous works addr…
Collisionless kinetic theory of rolling molecules
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
We derive a collisionless kinetic theory for an ensemble of molecules undergoing nonholonomic rolling dynamics. We demonstrate that the existence of nonholonomic constraints leads…
Exact geometric theory of dendronized polymer dynamics
François Gay-Balmaz, Darryl D. Holm, Vakhtang Putkaradze +1
Dendronized polymers consist of an elastic backbone with a set of iterated branch structures (dendrimers)attached at every base point of the backbone. The conformations of such mol…