Growth of curvature and perimeter of temperature patches in the 2D Boussinesq equations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910362439254016 |
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| author | Park, Jaemin |
| author_facet | Park, Jaemin |
| contents | In this paper, we construct an example of temperature patch solutions for the two-dimensional, incompressible Boussinesq system with kinematic viscosity such that both the curvature and perimeter grow to infinity over time. The presented example consists of two disjoint, simply connected patches. The rates of growth for both curvature and perimeter in this example are at least algebraic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11232 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Growth of curvature and perimeter of temperature patches in the 2D Boussinesq equations Park, Jaemin Analysis of PDEs In this paper, we construct an example of temperature patch solutions for the two-dimensional, incompressible Boussinesq system with kinematic viscosity such that both the curvature and perimeter grow to infinity over time. The presented example consists of two disjoint, simply connected patches. The rates of growth for both curvature and perimeter in this example are at least algebraic. |
| title | Growth of curvature and perimeter of temperature patches in the 2D Boussinesq equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2309.11232 |