Analysis of nonlinear poroviscoelastic flows with discontinuous porosities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916422973652992 |
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| author | Bachmayr, Markus Boisserée, Simon Kreusser, Lisa Maria |
| author_facet | Bachmayr, Markus Boisserée, Simon Kreusser, Lisa Maria |
| contents | Existence and uniqueness of solutions is shown for a class of viscoelastic flows in porous media with particular attention to problems with nonsmooth porosities. The considered models are formulated in terms of the time-dependent nonlinear interaction between porosity and effective pressure, which in certain cases leads to porosity waves. In particular, conditions for well-posedness in the presence of initial porosities with jump discontinuities are identified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_12166 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analysis of nonlinear poroviscoelastic flows with discontinuous porosities Bachmayr, Markus Boisserée, Simon Kreusser, Lisa Maria Analysis of PDEs Existence and uniqueness of solutions is shown for a class of viscoelastic flows in porous media with particular attention to problems with nonsmooth porosities. The considered models are formulated in terms of the time-dependent nonlinear interaction between porosity and effective pressure, which in certain cases leads to porosity waves. In particular, conditions for well-posedness in the presence of initial porosities with jump discontinuities are identified. |
| title | Analysis of nonlinear poroviscoelastic flows with discontinuous porosities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2302.12166 |