Riemann type initial boundary value problem for a system in elastodynamics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911994006732800 |
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| author | Joseph, Kayyunnapara Divya Dinesh, P. A |
| author_facet | Joseph, Kayyunnapara Divya Dinesh, P. A |
| contents | This paper is a continuation of our previous paper \cite{d1} on the initial boundary value problem for a nonconservative system appearing in elastodynamics in the space time domain $x>0,t>0$. There, the initial and boundary data were assumed to lie on the
level sets of one of the Riemann invariants where as in this paper we consider the general initial and boundary data of Riemann type, formulate the boundary value problem based on the Riemann problem and construct explicitly the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Riemann type initial boundary value problem for a system in elastodynamics Joseph, Kayyunnapara Divya Dinesh, P. A Analysis of PDEs 35A20, 35L50, 35R05 This paper is a continuation of our previous paper \cite{d1} on the initial boundary value problem for a nonconservative system appearing in elastodynamics in the space time domain $x>0,t>0$. There, the initial and boundary data were assumed to lie on the level sets of one of the Riemann invariants where as in this paper we consider the general initial and boundary data of Riemann type, formulate the boundary value problem based on the Riemann problem and construct explicitly the solution. |
| title | Riemann type initial boundary value problem for a system in elastodynamics |
| topic | Analysis of PDEs 35A20, 35L50, 35R05 |
| url | https://arxiv.org/abs/2408.09875 |