A Smoluchowski-Kramers approximation for the stochastic variational wave equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912715199479808 |
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| author | Guelmame, Billel Vovelle, Julien |
| author_facet | Guelmame, Billel Vovelle, Julien |
| contents | We investigate the Smoluchowski-Kramers approximation for the one-dimensional periodic variational wave equation with state-dependent damping and additive noise. We show that weak ``dissipative'' solutions converge to solutions of a stochastic quasilinear parabolic equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Smoluchowski-Kramers approximation for the stochastic variational wave equation Guelmame, Billel Vovelle, Julien Analysis of PDEs Probability 35R60 We investigate the Smoluchowski-Kramers approximation for the one-dimensional periodic variational wave equation with state-dependent damping and additive noise. We show that weak ``dissipative'' solutions converge to solutions of a stochastic quasilinear parabolic equation. |
| title | A Smoluchowski-Kramers approximation for the stochastic variational wave equation |
| topic | Analysis of PDEs Probability 35R60 |
| url | https://arxiv.org/abs/2511.13567 |