Analiticity of the Flow for the Aggregation Equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929235547914240 |
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| author | Burgués, J. M. Mateu, J. |
| author_facet | Burgués, J. M. Mateu, J. |
| contents | Let $Ω$ be a bounded domain in $\R^n$ whose boundary is $\ka{1,\,γ}$ for $γ\in(0,\,1)$. Consider the aggregation equation in the case of the initial condition being a positive multiple of the characteristic function of $Ω$. In this paper we prove global in time analyticity of the flow generated by the velocity field which propagates the density solution of this equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05277 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analiticity of the Flow for the Aggregation Equation Burgués, J. M. Mateu, J. Analysis of PDEs Let $Ω$ be a bounded domain in $\R^n$ whose boundary is $\ka{1,\,γ}$ for $γ\in(0,\,1)$. Consider the aggregation equation in the case of the initial condition being a positive multiple of the characteristic function of $Ω$. In this paper we prove global in time analyticity of the flow generated by the velocity field which propagates the density solution of this equation. |
| title | Analiticity of the Flow for the Aggregation Equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.05277 |