Weak and strong averaging principle for 2D Boussinesq equations with non-Lipschitz Poisson jump noise
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910012965650432 |
|---|---|
| author | Shi, Yangyang Su, Dong Liu, Hui |
| author_facet | Shi, Yangyang Su, Dong Liu, Hui |
| contents | In this paper, we study the averaging principle for 2D Boussinesq equations with non-Lipschitz Poisson jump noise. Precisely, we will first explore the well-posedness, regularity estimates and tightness of the vorticity variable. Then, we prove the ergodicity of the temperature variable. Next, we prove that the vorticity variable converge to the solution of the averaged equation in probability and $2p$th-mean, under different conditions, as time scale parameter $\varepsilon$ goes to zero. Finally, we present a specific case study and conduct numerical simulations to substantiate the main conclusions of this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05696 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak and strong averaging principle for 2D Boussinesq equations with non-Lipschitz Poisson jump noise Shi, Yangyang Su, Dong Liu, Hui Analysis of PDEs Probability In this paper, we study the averaging principle for 2D Boussinesq equations with non-Lipschitz Poisson jump noise. Precisely, we will first explore the well-posedness, regularity estimates and tightness of the vorticity variable. Then, we prove the ergodicity of the temperature variable. Next, we prove that the vorticity variable converge to the solution of the averaged equation in probability and $2p$th-mean, under different conditions, as time scale parameter $\varepsilon$ goes to zero. Finally, we present a specific case study and conduct numerical simulations to substantiate the main conclusions of this paper. |
| title | Weak and strong averaging principle for 2D Boussinesq equations with non-Lipschitz Poisson jump noise |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2602.05696 |