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math.AP2023
Linearization of finite elasticity with surface tension
Martin Kružík, Edoardo Mainini
We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establis…
math.AP2023
On the weighted inertia-energy approach to forced wave equations
Edoardo Mainini, Danilo Percivale
We show convergence of minimizers of weighted inertia-energy functionals to solutions of initial value problems for a class of nonlinear wave equations. The result is given for the…
math.AP2023★ 4 cited
Newton's second law as limit of variational problems
Edoardo Mainini, Danilo Percivale
We show that the solution of the Cauchy problem for the classical ode can be obtained as limit of minimizers of exponentially weighted convex variational…