Global dissipative martingale solutions to the variational wave equation with stochastic forcing
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_ | 1866910623343837184 |
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| author | Guelmame, Billel Vovelle, Julien |
| author_facet | Guelmame, Billel Vovelle, Julien |
| contents | We consider the variational wave equation in one-dimensional space with stochastic forcing by an additive noise. Blow-up of local smooth solutions is established, and global existence is proved in the class of weak martingale solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global dissipative martingale solutions to the variational wave equation with stochastic forcing Guelmame, Billel Vovelle, Julien Analysis of PDEs We consider the variational wave equation in one-dimensional space with stochastic forcing by an additive noise. Blow-up of local smooth solutions is established, and global existence is proved in the class of weak martingale solutions. |
| title | Global dissipative martingale solutions to the variational wave equation with stochastic forcing |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.03034 |