Abels, Helmut and Ameismeier, Tobias (2023) Large times existence for thin vibrating rods. ASYMPTOTIC ANALYSIS, 131 (3-4). pp. 471-512. ISSN 0921-7134, 1875-8576
Full text not available from this repository. (Request a copy)Abstract
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 external forces, we prove that a solution exists for arbitrarily large times, if the diameter of the cross section is chosen sufficiently small. The scaling regime is such that the limiting equations are linear.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BENDING-TORSION THEORY; INEXTENSIBLE RODS; CURVED RODS; LIMIT; Wave equation; von Karman equation; nonlinear elasticity; long time existence |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Feb 2024 08:56 |
| Last Modified: | 22 Feb 2024 08:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59038 |
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