Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918155825184768 |
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| author | Di Feola, Angelica Pia Ruzicka, Michael |
| author_facet | Di Feola, Angelica Pia Ruzicka, Michael |
| contents | For a given bounded domain $Ω\subset \mathbb R^3$, with $C^2$ boundary, and a given instant of time $T>0$, we prove the existence of a global weak solution on $(0,T)$, which satisfies a maximum principle, to a parabolic $p$-Laplacian system with convective term without divergence constraint for any $p\in (1,2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05847 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term Di Feola, Angelica Pia Ruzicka, Michael Analysis of PDEs For a given bounded domain $Ω\subset \mathbb R^3$, with $C^2$ boundary, and a given instant of time $T>0$, we prove the existence of a global weak solution on $(0,T)$, which satisfies a maximum principle, to a parabolic $p$-Laplacian system with convective term without divergence constraint for any $p\in (1,2)$. |
| title | Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.05847 |