most citedConvergence of Thin Vibrating Rods to a Linear Beam Equation

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2021★ 4 cited

Convergence of Thin Vibrating Rods to a Linear Beam Equation

Helmut Abels, Tobias Ameismeier

We show that solutions for a specifically scaled nonlinear wave equation of nonlinear elasticity converge to solutions of a linear Euler-Bernoulli beam system. We construct an appr…

math.AP2021

Large Times Existence for Thin Vibrating Rods

Helmut Abels, Tobias Ameismeier

We consider the dynamical evolution of a thin rod described by an appropriately scaled wave equation of nonlinear elasticity. Under the assumption of well-prepared initial data and…