Stationary self-similar profiles for the two-dimensional inviscid Boussinesq equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909370423443456 |
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| author | Abe, Ken Ginsberg, Daniel Jeong, In-Jee |
| author_facet | Abe, Ken Ginsberg, Daniel Jeong, In-Jee |
| contents | We consider ($-α$)-homogeneous solutions (stationary self-similar solutions of degree $-α$) to the two-dimensional inviscid Boussinesq equations in a half-plane. We show their non-existence and existence with both regular and singular profile functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stationary self-similar profiles for the two-dimensional inviscid Boussinesq equations Abe, Ken Ginsberg, Daniel Jeong, In-Jee Analysis of PDEs We consider ($-α$)-homogeneous solutions (stationary self-similar solutions of degree $-α$) to the two-dimensional inviscid Boussinesq equations in a half-plane. We show their non-existence and existence with both regular and singular profile functions. |
| title | Stationary self-similar profiles for the two-dimensional inviscid Boussinesq equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.21765 |