2 citations · 3 across the 3 of their papers we have counts for
5 papers
Nondegenerate gradient Young measures and dimension reduction for nonlinear membranes
Gokul G. Nair, David Padilla-Garza, Marco Picchi Scardaoni
We consider the rigorous derivation of membrane theories from three-dimensional nonlinear elasticity. A salient feature of our framework is the inclusion of an orientation-preserva…
Nonlinearly Elastic Maps: Energy Minimizing Configurations of Membranes on Prescribed Surfaces
Timothy J. Healey, Gokul G. Nair
We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in . This is a physically correct…
Energy Minimizing Configurations for Single-Director Cosserat Shells
Timothy J. Healey, Gokul G. Nair
We consider a class of single-director Cosserat shell models accounting for both curvature and finite mid-plane strains. We assume a polyconvexity condition for the stored-energy f…
Designing for Robustness in Electric Grids via a General Effective Resistance Measure
Shriya V. Nagpal, Gokul G. Nair, Francesca Parise +1
We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how mu…
Fission-fusion dynamics and group-size dependent composition in heterogeneous populations
Gokul G. Nair, Athmanathan Senthilnathan, Srikanth K. Iyer +1
Many animal groups are heterogeneous and may even consist of individuals of different species, called mixed-species flocks. Mathematical and computational models of collective anim…