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20022023
most citedSize effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I

184 citations · 506 across the 39 of their papers we have counts for

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math-ph2023

Action principles for dissipative, non-holonomic Newtonian mechanics

Amit Acharya, Ambar N. Sengupta

A methodology for deriving dual variational principles for the classical Newtonian mechanics of mass points in the presence of applied forces, interaction forces, and constraints,…

math-ph2021

Variational principles for nonlinear PDE systems via duality

Amit Acharya

A formal methodology for developing variational principles corresponding to a given nonlinear PDE system is discussed. The scheme is demonstrated in the context of the incompressib…

math-ph2004

Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples

Aarti Sawant, Amit Acharya

A method for model reduction in nonlinear ODE systems is demonstrated through computational examples. The method does not require an implicit separation of time-scales in the fine…