Blowup of Solutions to a Damped Euler Equation with Homogeneous Three-Point Boundary Condition
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866908420116840448 |
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| author | Obi-Okoye, Ikechukwu Sarria, Alejandro |
| author_facet | Obi-Okoye, Ikechukwu Sarria, Alejandro |
| contents | It has been established that solutions to the inviscid Proudman-Johnson equation subject to a homogeneous three-point boundary condition can develop singularities in finite time. In this paper, we consider the possibility of singularity formation in solutions of the generalized, inviscid Proudman-Johnson equation with damping subject to the same homogeneous three-point boundary condition. In particular, we derive conditions the initial data must satisfy in order for solutions to blowup in finite time with either bounded or unbounded smooth damping term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_00068 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Blowup of Solutions to a Damped Euler Equation with Homogeneous Three-Point Boundary Condition Obi-Okoye, Ikechukwu Sarria, Alejandro Analysis of PDEs Mathematical Physics It has been established that solutions to the inviscid Proudman-Johnson equation subject to a homogeneous three-point boundary condition can develop singularities in finite time. In this paper, we consider the possibility of singularity formation in solutions of the generalized, inviscid Proudman-Johnson equation with damping subject to the same homogeneous three-point boundary condition. In particular, we derive conditions the initial data must satisfy in order for solutions to blowup in finite time with either bounded or unbounded smooth damping term. |
| title | Blowup of Solutions to a Damped Euler Equation with Homogeneous Three-Point Boundary Condition |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2106.00068 |