| Autor: |
Michael Herrmann, Karsten Matthies |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Mathematics in Engineering, Vol 1, Iss 2, Pp 281-308 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
2640-3501 |
| DOI: |
10.3934/mine.2019.2.281/fulltext.html |
| Popis: |
Peridynamics describes the nonlinear interactions in spatially extended Hamiltonian systems by nonlocal integro-differential equations, which can be regarded as the natural generalization of lattice models. We prove the existence of solitary traveling waves for super-quadratic potentials by maximizing the potential energy subject to both a norm and a shape constraint. We also discuss the numerical computation of waves and study several asymptotic regimes. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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