Well-posedness of Generalized Fractional Singular Burgers equation driven by $|D|^{\frac{1}{2}}ξ$
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918326846881792 |
|---|---|
| author | Zhang, Shuolin Luo, Zhaonan Yin, Zhaoyang |
| author_facet | Zhang, Shuolin Luo, Zhaonan Yin, Zhaoyang |
| contents | In this paper, we study the generalized solution of Fractional Singular Burgers equation driving by $\vert D\vert^{\frac{1}{2}}ξ$. We establish a framework to describe the equations satisfied by generalized solutions, termed the Generalized Fractional Singular Burgers equation(GFSB), and prove its local well-posedness. Finally, we prove that the solution of GFSB can be the generalized solution of Fractional Singular Burgers equation for $γ>\frac{3}{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07492 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Well-posedness of Generalized Fractional Singular Burgers equation driven by $|D|^{\frac{1}{2}}ξ$ Zhang, Shuolin Luo, Zhaonan Yin, Zhaoyang Analysis of PDEs Probability In this paper, we study the generalized solution of Fractional Singular Burgers equation driving by $\vert D\vert^{\frac{1}{2}}ξ$. We establish a framework to describe the equations satisfied by generalized solutions, termed the Generalized Fractional Singular Burgers equation(GFSB), and prove its local well-posedness. Finally, we prove that the solution of GFSB can be the generalized solution of Fractional Singular Burgers equation for $γ>\frac{3}{2}$. |
| title | Well-posedness of Generalized Fractional Singular Burgers equation driven by $|D|^{\frac{1}{2}}ξ$ |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2602.07492 |