On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciences
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914121496133632 |
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| author | Kim, Young Ho Lvov, Yuri V. Smith, Leslie M. Tran, Minh-Binh |
| author_facet | Kim, Young Ho Lvov, Yuri V. Smith, Leslie M. Tran, Minh-Binh |
| contents | In this work, we study a three-wave kinetic equation with resonance broadening arising from the theory of stratified ocean flows. Unlike Gamba-Smith-Tran(On the wave turbulence theory for stratified flows in the ocean, Math. Models Methods Appl. Sci. 30 (2020), no.1, 105--137), we employ a different formulation of the resonance broadening, which makes the present model more suitable for ocean applications. We establish the global existence and uniqueness of strong solutions to the new resonance broadening kinetic equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciences Kim, Young Ho Lvov, Yuri V. Smith, Leslie M. Tran, Minh-Binh Mathematical Physics Analysis of PDEs Atmospheric and Oceanic Physics In this work, we study a three-wave kinetic equation with resonance broadening arising from the theory of stratified ocean flows. Unlike Gamba-Smith-Tran(On the wave turbulence theory for stratified flows in the ocean, Math. Models Methods Appl. Sci. 30 (2020), no.1, 105--137), we employ a different formulation of the resonance broadening, which makes the present model more suitable for ocean applications. We establish the global existence and uniqueness of strong solutions to the new resonance broadening kinetic equation. |
| title | On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciences |
| topic | Mathematical Physics Analysis of PDEs Atmospheric and Oceanic Physics |
| url | https://arxiv.org/abs/2510.25031 |