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math.AP2026
A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials
Amit Acharya
A variational minimum principle for linear elastodynamics of a possibly heterogeneous material without a stored energy function is developed. It involves a change of variables to d…
math.AP2026
Variational Dual Solutions for Incompressible Fluids
Amit Acharya, Bianca Stroffolini, Arghir Zarnescu
We consider a construction proposed in \cite{acharyaQAM} that builds on the notion of weak solutions for incompressible fluids to provide a scheme that generates variationally a ce…