Carleman Linearization of Partial Differential Equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912138485825536 |
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| author | Vaszary, Tamas |
| author_facet | Vaszary, Tamas |
| contents | Carleman linearization is a technique that embeds systems of ordinary differential equations with polynomial nonlinearities into infinite dimensional linear systems in a procedural way. In this paper we generalize the method for systems of partial differential equations with quadratic nonlinearities, while maintaining the original structure of Carleman linearization. Furthermore, we apply our approach to Burger's equation and to the Vlasov equation as examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Carleman Linearization of Partial Differential Equations Vaszary, Tamas General Mathematics Carleman linearization is a technique that embeds systems of ordinary differential equations with polynomial nonlinearities into infinite dimensional linear systems in a procedural way. In this paper we generalize the method for systems of partial differential equations with quadratic nonlinearities, while maintaining the original structure of Carleman linearization. Furthermore, we apply our approach to Burger's equation and to the Vlasov equation as examples. |
| title | Carleman Linearization of Partial Differential Equations |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2412.00014 |