Results of Fractional Rough Burgers equation in $H^s$ space and its application
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910106525892608 |
|---|---|
| author | Zhang, Shuolin Luo, Zhaonan Yin, Zhaoyang |
| author_facet | Zhang, Shuolin Luo, Zhaonan Yin, Zhaoyang |
| contents | In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time noise in $H^s(\mathbb T)$ space. For the higher dissipation $γ\in(\frac{4}{3},2]$, we establish local well-posedness. Global well-posedness is further obtained when $γ$ is restricted to the interval $(\frac{5}{3}, 2]$. For the lower dissipation $γ\in(\frac{5}{4},\frac{4}{3}]$, we use the regularity analysis derivation the para-controlled solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22900 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Results of Fractional Rough Burgers equation in $H^s$ space and its application Zhang, Shuolin Luo, Zhaonan Yin, Zhaoyang Analysis of PDEs Probability 60H15, 60H17, 42B37, 35Q35 In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time noise in $H^s(\mathbb T)$ space. For the higher dissipation $γ\in(\frac{4}{3},2]$, we establish local well-posedness. Global well-posedness is further obtained when $γ$ is restricted to the interval $(\frac{5}{3}, 2]$. For the lower dissipation $γ\in(\frac{5}{4},\frac{4}{3}]$, we use the regularity analysis derivation the para-controlled solution. |
| title | Results of Fractional Rough Burgers equation in $H^s$ space and its application |
| topic | Analysis of PDEs Probability 60H15, 60H17, 42B37, 35Q35 |
| url | https://arxiv.org/abs/2511.22900 |