Diffusion in porous media with hysteresis and bounded speed of propagation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912393770041344 |
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| author | Gavioli, Chiara Krejčí, Pavel |
| author_facet | Gavioli, Chiara Krejčí, Pavel |
| contents | It is shown that the problem of moisture propagation in porous media with a nonlinear relation between the mass flux and the pressure gradient as a counterpart of the Darcy law exhibits the property of bounded speed of propagation even in the case of a hysteresis relation between the capillary pressure and the moisture content. The paper specifies conditions for existence and uniqueness of solutions, and provides an upper bound for the moisture propagation speed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06622 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffusion in porous media with hysteresis and bounded speed of propagation Gavioli, Chiara Krejčí, Pavel Analysis of PDEs 47J40, 35K65, 35K92, 76S05 It is shown that the problem of moisture propagation in porous media with a nonlinear relation between the mass flux and the pressure gradient as a counterpart of the Darcy law exhibits the property of bounded speed of propagation even in the case of a hysteresis relation between the capillary pressure and the moisture content. The paper specifies conditions for existence and uniqueness of solutions, and provides an upper bound for the moisture propagation speed. |
| title | Diffusion in porous media with hysteresis and bounded speed of propagation |
| topic | Analysis of PDEs 47J40, 35K65, 35K92, 76S05 |
| url | https://arxiv.org/abs/2410.06622 |